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<!--
title: 二項式定理 (Binomial Theorem)
description:
published: true
date: 2026-02-11T17:34:26.679Z
tags:
editor: ckeditor
dateCreated: 2026-02-11T17:24:46.603Z
-->
<h2><span style="font-family:Arial, Helvetica, sans-serif;">Fundamental Principle</span></h2>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The product of first n positive integer, can be called as n factorial, and noted as&nbsp;n!</span></p>
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<p><span style="font-family:Arial, Helvetica, sans-serif;">Note, the special case defined,&nbsp;</span></p>
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<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">When we pick r objects from n objects, if the order matters, it is called as permutation, and we notate it as&nbsp;nPr.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">If the order is unimportant, we can use combination, which is&nbsp;nCr.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The extra&nbsp;r! is the permutation in the specific set drawn out.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img 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"></figure>
<p>&nbsp;</p>
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13BfbmnfITkNjdtNyicOR6Oy6gnGpGpE32vgH+JTZj3kCk7FiMj1ONmlV4rGerBvIwX0KgjY0k59YWWwRE3qj6UHlsuQhMQfqDTMv7bLK+Gw1nLWhkWpqWnXBiR28i93UjWLpT1ypawgezMgRGdvoHwjNEiAEmoENE9FS/yDBrkJh56f8H1UP3dveIL/r8mA/IMZcbn6IwwETr+ySdUfGaSttyGY5Lgxb+/4H6op3xYDLVNUJXRSt3Y+6YsArAeDSSfCdGH7LpzjvC3K8gOdh9q4Pd9DvdV9twzwuDifQ1POkS81Lq3XDwTaqOJF4vI2u0GGNgS2ivaGfZFOnWvPzRbZBPDe2tiL/gX7mPPLT0S+2x/AXvuzUNU1NAXcX5YKip1BSt9mIbEdjhQ7LAVsRRIU0htDE7qM8q/M2FTQehW4rotVXT7tjAY5Db1/g3aYnyS4A+6DR7sLZfefwzd/uR5sv3WTXdvGIJF6EoO3epOftkXnH3+kBSCbv/5I4E7POXQrQzdPv/zSEdylEEz3RY3HEdJugXOjwjdOpRU1OjCIkdMSiKL70KZ0gU4KcIonOrp6z9vZtVfz2zNnjajPNDTQmMzCPHMCFRfdoKOwalZ3pQzfi4MEFw4jS6cpjqZc+bcddNEyxjdPYby7WXNPNl1nJcnDlHE+lpVg6inmhaYs7P+Za51BE0fXHLr1Qe7vpMRLy07VsPhrMX2HKMPxMLCae4I1/20ImyzjAnjfgsD/CpVHgEwjIIkzg1a9RrGdJAF02KNJXeYXYLc7yOv1RBzplb7XsT5TVfDiDaBV0blnk1LVBBhA17r47Gxr5slYD1XLPn+YKFamvp1UWiw56A49sU2kr+QqKGsn47CqXm4glPD5PEBgLlbps+SYNofwt4nWuew97VeoLtHJunvVrkuKkvYvTTVhvv2JrhvAqeGP5+jC9KWLdN09l3Y/evbQjbbeXE8AJbdaMSE6RkA8Y9h9w9Rr8TwM7cKO6V2ho6ZUxAyjluF0k6Queykb+kccDPpHuz6dkYGs+zIKQbHpzD0Z6/4HO9T2NRK+GHYlG6yrSgI3UpjM8ymfkANpccVmzIk5r+BbnXPMt12Md3+OHjo0AWJ6fZz7jji4LpF2gm6jTbv5Lw8TLcR/Czra/USdPMS/S99GMfVk71UVMQoMsVhk66x8neBHwCsGSWFwMrQy0qMQJinBmxe5MxB1KZ5nKqnHarGJhNF0dojYQEvjwostem1RtE0fazFctZ/zXpsj0X9ABGluwiJs/AM82xYSLbixAgYUVeO1tQ9cz1stHiF+M0wZlPKiyIcjTzxJ+LEUodl+apZiJ/xw8hj4+QLI3ok8OiRzNhO+fcMxBoHbVQYejHzyxNEZpD+LPMH+fysmF/cBKPz8yCfZMX84udQGXWoVnGQngYOm7VY47xP2fsUUWPvK2Z7n0C3U2imBX4TqbwUpc9DNrG70U3ehxekLSmkseL33KX3VawkmS+u2P0Q7B7vtUiBDrf7/mEyZzQdk76E6wquhYpsfxHDccYcteUp5cUda1TJPlT0o0Er0nLppsgqMsRhk/6K496nfM0VVFpSxN+n6eh2Drq9+blSVs5123eGRj5a2q08lbll3bHxZq1aqSxhJ/CoUHg64NI+HqHZ0yPQpT0ytdEA9WzvYqkoOZVyaoUzZ4b2tZlQfq1uSilRFG3Vcu+1RNEgDE0fqTwm6p6zbtvTo6wXfgijNGDbBsfYbL8vHPPoV43WjD4AE+6ycq9Vy70XzrICsRUPPfIJlUD8yCz9FedQseeicgjUeNh046vm+fOC75vRe8CVoL8Bn1+EDTV601XLvb/F/JK8Db2o5iAhGtZSV4/5O1opIbuEX8qJvQWeirq0VzyCX9O1x3V0+dXHSBv8no5X7WCpqJQwKJzfZGiG9mLvs94WQA6XzC3hkIdQQ8L7Vin3TdaZnFF5wO5nYfdD6HskM4xN1dfikU/1sWhNvuhkdOFlqb3j5SXTWbXc+9tzNLdSDm+VRd3E+/QmZJH5xqd4n8KmHq3Al8NTUZf2Su9wm/oBbOp72NR7sCno9v0bQeh2ddZirltWVg6alq1F2NOAsXnxa+md/4Bu4QeySFw6R/YwNhF+mRXpQdKZtQrnMsehunCBTBGemZmSAFJyC0JhNZJEK7VsiLsvb0ewXfl9uyGrKzV9qGBFaxtivbZHMUoD5tgYKTCIVCpSoTVZxtYgDCzuYr0EljlAq33fofQeoM743gNrE+PqV3H7FmK8JZm4xUYdk6WidhV+SzWGr0KDM7I48/w8GQuflTp37QovoPXDQpKFcdDujg5Rxi/zdMgAWSpKuS94ZmYI9w3gvm/hvg9Sui+ze8A3UM6uhGwCAyeIkAZ7iGhNupGOjaq72LzBL8NqZBgvT/bSUStLjaWidiq65TwzTLdHC9/Sle16EFpAy4ZkNhXVrRMhGxkhm8DXJ0h+5wYNryFaw2aZPYxNnlpSlLcEYOi0ZjjRwiI7fjpRDzK3PGARTmvyeXzy06SPta7V4fhPESSzYdeMT/D5T4Tre4zktbBeSJ35sMflsXVpU4uXAEsp0a4O2oXI1640ogVs7ys+c4/6DxSR7fI1GnrpYVoRA84hs6sd9zyX1n3RvFFCF/MQ7F681yaEGv79GAj4LqacBtO0n3kJQLc62mmHXj8kQJpSPmLdxGd90tz7YvBA3zF61vORrqxsbknKLtUBs5eKivzK9GaczyTzxHM8lVAwQtWg01d6U12ictkpG1Bm2GPMgx5QqWhf00cqUsrbc/SliEegJ1pDfRmCNRaqccKnySUYPd8kFbFvD/YbX7gmhv/Jt2mqOx/sfYz3npGgImVzW93B+Wg8jVUwLHpu35bGS+XHNHRJdJ90hoy/r6JeA0DE32U2emIAl4cwdJ4ONJTR0cm3kIJCGuxptHu9AdErRCRn/HTvlBwyKlViScv10zcJH83BpuRtILpEqiiT3MNct6cvQLel0O2vABgW16zb7Dk2afLLpK+AyBUZ5GdRAL1E9wHSjJa7m9rQ2t1lRRpghprxfc4bW6YsuPT4flIedvmJmj7WLLrVLowCiMuOTWU9BZWRBak+qIGKEavn/Bv47fFUsA+zZ42BtkuNZLxwISVemlTFzhwag43E/+kbJgs4b3YBLGz6Nfa+IRuZpVlqAoB353cXkBJKzoWT6j0TnRcFEJcefUpTUDGhGBW+NsZZhP8x6EtGjnnFphj/XNHPlBLrjNwHg0Z1W3b0xpoAw/HzyppjE6si8q5ehh2dHIh75Hrwg0QxOZWoPBpxmmJ8MCsKN1LGnIlqHwXQizvHpa1QshYp3176faaUr9a46eqD3ddeV47y+C5UpxxDA88UiQU1failsifGqcAz4aoRtRRUAgnzbtel6HbtmREYxromo7zzmVExnrfwYG+3YJWPkOysSV4e70fJP6bC9j6vyvEahsvp6MDgSFtFQa6ODxakXfhyF1t+3PeZkcbiqJXNV2no4UVpa4adqEyvYz3js3TeCyXhkOCZETNKGIiy8pusg3ixgbayWm+1W4gvE0Jl01V6MLL2FFR0uKw5NuyGLNSEOpykYFseGUE1aPM4iACnR4W68gI4OTX41TWetCN2NjpWr8cg13Ot4kSlBm5O5T6p6iPq0AiGSDEwiltSPTazPlKVgdrn8Uqm+gJhxGMiPVJQjJBqrQfjx6lGJdLCWUdaOIm13i/d62DzACiz+b2bQt3N0tG5faNqa6MVRkUdGtHYTrxytik1qQV8jIsWPZHQzdyKuu1UKpVSGzk/zuJVRQ0F4vs3TGRACmo9dp+LFTFOnp3tu+hbgGnTgJ+sOFUjp5n+i/I+zVDIZh4l11Gb2nrHmDGbYmR9Lx4okE7/2URGaf26zapjozfvo0owHK/WeZtXGwl4geLXKIjwOLnG6PSCcKyZ0Maghu6Py/Jq6R7O9JvpDuK5eCoycM+U9ME6itdfQlk82JadfmoRasCgkvqh6SN1Wa125o/ut4f/tCcstNEgba+XaQS4GlBEPN1tE5KIltu37aZSFr9BQja8vL3hknDkzBkKnwpQq2jmz1sqqHD/LNv70M18lVJvdawxe6OU328PXa4NiawcfUeDTGduvMWcmgzhSbK3LjXupDf/lCoP/YVm/QHaeT4zno2PvU9BgLhaqfda1wLdBi/XBiVWFl51QKY//vkt5tQw1uF1p7uy6tiQ3kycrXfMjY15hQaVvEkkXJM90a6RitgUzhhXCk4Rv5jA/KoqYd5alZfX16WgDx4lQpv06dFRMsHpTGc9ipOq6SMdmSU6F/1XwgPbOwSXS6QZlpJlkRrNqUkuVtj33kob2c6j/YTFGjbYFQLB5Bfm7gweodpVSLfOnqUaezkDg6a0j+FZC7eKQHc27gFZnbr4mlxJg/eUquoUXS6Jvmhy0/AkIjXoTZUZkGyuVrmO+3L7PkTW8+N0ZtIQbTOhGoBY6dckSnJjLe3++UVV8TVKTymHNDSko88br9Lwp4wLSx2nhkk0q44Nw3XYjzXL1poxcgcY7/uTB2cnRYU+0sS0EM95F+VdWY3gjztFaEKZAcK8dZhf3l6aij7WNXlNH+sSX/Rihheh6g5SuPWUtgrakVwCTG72o01hm/m8wPYbpY/X4sEcxomBXqHb5iSPXEn9vimyGObpWmsDmZ0eREnwnXuKrGj/kO8OEU38CXsfmlBi7ytMkTAvuQRzewYvC9/ZTh072Txuoa1CpsmPcrvedO/O5GN/pzFke2VZm4nIQGhyGrw22CN1WRkT+DbeoNRi/IquHzzA7TuM7/qvTpH30QrMvrxz9jY6ftiEVgqoUEqXJW+VBUXLwtu5bj9Dqwul/YVaR1YdGz5p0x4kilxk7ZlIipdJuMgVysWjnZJZd2OkmCk9Vhq1xLkBx1mvPlZYsqaPDWgLm3HK3L6HyNY7QTaksuPbegUG6umycZgmfcVo6mgDFidAg73HyXh4EmmgazwNZOseILPJgk7S+RvtYQ7a4A70xEAXZLb3pdIWYTOq+qlcU00tko+n6RDsW95pXoKTmx/8BV0ynKEbvhL6SZFVse++PjK+/SkFT35Cv9SZ6VD3IH05ZQneEZcyAzOnaLDKKMnbemFTKPNegXE4X2WedccGRDxC24lK2WXtogJ/aq0LuPCivCsrSXKih6xeRGvQGBDNJVMK3+arUrI5rzXrI9kkNX0kk5D29yxIAPYtHu6vCLts3UKfzxS2GhYdFFQ5irypo6GAp3xmunupduoUmQQB7RR5Lx/W+pqFyPO7W/rEv2LvQ7TmnoVuX8gsj0wWVKbdIg0JOBy3pMN9Pw4N2X4r9h02hbxk512w2RAfPKjWbZk+R6LxmSA+SlH7/k4UdQLJ37PvqMyQuIwbNnXIu4165yx05yKaWEbGTGNqOT01644N91EsI3RiDIy9a43aLBNZLDoA/EEqPZ5yKvE8vLmmjzxUijYl1STA7Lsf4MpEURt2k4B7DLWaMjUdPUVmODWs6zhAvMTa4yZrookKzrDRtrRx52oTT6VxZzoLj0VrUCZrM2DuZ/MbQ5TO2rRzU5OA3vJv1H+hiKzHEbX55hGVsQ6Scce8+0PelPbNoydp+GIk7bT/GfDToN4JmI9C71LavVi0pvEKHTqmLrYmtRWt/6ycODYc2+EZl++iwub6Cb8cJbtbXE6CkvBViN4mWuAk0Qnyc54bDX+Qrlkk10d6I2r6SE9e2tmZlQDH2ky5w3OiWfii/1643WpfwgnDK/fkZkJvTor15uT8S4iCILfD+vGsVFDPoj7LG3euupoUGnemI42JZux9cj/YZwGsXWWe6YypnbuxJMCxNpMfh+5Kr4hfHJ8LznhpSSsCX6RarvZlAWy+kYaSoAa4CfvurdGTl9WKx+FnJlr0ZAv30dzJGrqzQZmdc+LYMLNhKRCnf1xuqa+n6/tGYs5NlFvlCdNKQPTGIjUTLfVUMwOnBuWvWgpq7Q/kSvpIZ0RNH+lISzs3mxJgKalTPne4teGAQMKZcDswMzwywyrOdnQIaDlO5riUEy9igLNjBGYlHw8OfG5tEMyzcGqmLKxaKP8BzvkoyE0yJ5aSOnXv49DBA2+In7/2fhBeOXdulOhLpyQ3La1sYvYto4zbAGqAqF/DwcYHGyTzTD/NTSIFhSoltKtYd+l1LkScM8eGOzejcG48I3BO3PipZJdZiXaUW8W1rLFkQqK3gJ98JSMAIY8KcGpyIb9Ndc9E+khrgZo+0hKXdnJ2JQD7Fk9NDcMhcANiYAmb4NygRTSdR8Cm4nWw9bJCcGwjSnrnSWcnu7NNcjc8a/7iYYCc9ZpDk1eKyd1kHKO3pJOTI3BO3JJ87lfB7+CY0Pwg7Bspp9cWU04rOTuE9gm+4jN07m//W3eu690N6dBEpZ9Tx0aJ3ICEr5D/g8+J8aYskvH5QcaHtBUjiTN4ibVViMfQsBcxK3/VDvUksFwfS0aOpgNXqEzT9KGeHrSRMiMBXjq/BWO/6+A7h738voKvQWgm2r6F0H2HZ6dKicK+ifDvDtwnw6QCKs5q2XfkeZNn8cKRTUt4eJiTxvY+7fdcZuxko46Kju06ehaz73pXWQLsm7XZeAOhmQexlJPS2JKKiYLdPwy+98bXZPj0D3QeoOIHDxyhBw826uoX551zxyaRCE1guB0vqacusIWygHB7eyUaTPqpcEFhItaO7EmAA7OR7htD4rY90lGBvFaEvq1UWVkpl+1D409NL9lTiHYnVSUQTTnF42tY2qq2CZVULrMgzjSTezh7Tg2PFiHFNPaFJ+55s6Eyy8aet3DZ3mFyWg3ZdbBUlbg2WDYlEE05xeNrYN+6V9/cFnQNvSLpZhrpKuz7O4CKN1rl02py/H+Zk4zsig6nYgAAAABJRU5ErkJggg=="></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Note,</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">There will be n+1 th term.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The sum of power of x and y will equal to n.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The r+1 th term can be called as the general term, in the descending power of x.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The coefficients, r=0, 1 … are called binomial coefficients.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">E1 Example</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Q</strong></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Expand&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">in the descending powers of x.</span></p>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>A</strong></span></p>
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"></figure>
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src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASEAAAAYCAYAAAC1H0vKAAAAAXNSR0IArs4c6QAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAuUSURBVHhe7Vy/cxpZEu6hNpfjI2UItErlKo8cm2WU+BICEpwcbGRmq1aRVWjhyBQcbCYc3JLgWi7RVZ1gFZ+ZhPAoqhaUKrf+AM+7r99jhl8DAokfQp6pcmA8P/p90/297q97/F0+n6fgCBAIEAgQ2BYC323rwcFzAwQCBAIEGIGAhAI/CBAIENgqAgEJbRX+4OEBAgECT46EDm/PhEkNyofb2rf4epKHe+K8aFHFHqzeSFOjdUHtQuGbwyOXPBTl8yJZLhjfMBbPORaeFAnlDm+Fdga4088Z8tlry+WSonykEyX6lI/VNA7CjG6SmXkLUv62MHGx6DIW+W8bi+f+5p8MCeVyCLijWyqVDLK6zx12//UVCjWNYnkK39XUCRGd9g0iYx/EdNfeOiiKGFJE1Rbd1dabmU1iUai1tbdpEpWtoxAYsGoEngwJNTNFotMWHfeOyFr1Kpe8n1cG0OnMstA9p45SwaucUC6cVlE6rSBAOeCb5XOqH5Somo1QrbDkIh5xutwQNJMmA/7sTKWpjQjRLEp0MxiLStRvZWH3ashK2YSnN+J4+HYIeRG/YNiTyOhTZmXoF+kGVS/iU1hMlZu41oAPJeBD6yb5R7gHwW4HZbLmlckjdlsRCuULBTF5f+8axBRV4qF8fnjOkyAhLsOObk8p1i5o/Vt7agHLAJZL7okjvY6KZvnd2nUKTedgm10WyrKRz4Fz9YVyLnY8HY5nImlpiAvxGA0nuXctNFmXGmSk3y6zfO/cx+DwoAcOLropp8hiVkYGt8qDN6lOqS99ZNn7PhaLRf1CEhDeHSpouAbbWoNf7IGQTNKlzjm0XNlkkm2UqAFf5Y1LPidlkqVXcL0QFRMBPRKsy6571vm55AvnKPq7lvizhWf5k8a8a19HTa31qkRXsNsE6dBN82s5daxJu68c5yyX84jIJZ9hTE2H99ZJyC3DTltxiK/DHU4SU++EYncoUTZwSKdIXSKTqZK46JNfJjBuBjKCkd2t1g5rDZQLZqVCl80LeoyEU7uLafl8jHccqQlNOvAG4FAc3BAU9gl6EKyvCZKczQNKG/ZUFvUYmw9vr0URO+imfGHU1mX8QmVranMKg4D4PrX2nXYq/cKkWxCLi2fz3EKmZFCpmvUyZy45c9WSqOtoTFw2cTXYjJ7WMHHzPEu2gN2/vafjYdYTgt3Ov6JZrfJv2H0Mu2E2k93rd5fah3+qmPoxdEwXPo6wdRK6KRfRCYLTajL5H9CkSfzXdAMmbyjzLtTutFgsDIeoURzONC9oCiAcHjSfFYyPCbjRa9kpT0qGqNR7lLzIiVWVNquybyxYBwHIGcB+cXXKjUdAW+qWLuMX1LyU5Jt+O14yxiFmETanTu9Gbk6qZOVM94Cik6VtJIpfySvl1vGuHnpP2O2UX/+iCVioRzQZrN52BP3ye9KoNXLzQu1L6M0bxNQnGVMO/sk3oVgbCbHzmNxaHWmrenqBDSYdlEvuru/aPtaib29QCHnomxlcN3SsNE34IC2KhavFID+XO6lKz+GsB6cr01YeucyZlzcz0JCQAaA6JewrM49FseAbyMzqOgFtiUveNoKXmxc9Olmh1rRKPJqXTEEGTfUR9H1ZndpdlGhgIRbdDw8Qw3aHwEu+Bzcj7JEwf3l77cQrtubGE3KNkKCbr+WjqGbZr6jUW760WnbtsDt0+L1wtFZH698I0nRtKk9Tdi93SBKSdaws5Bc7DK7N55RJyb1bcX6IFOzkio6QWhbLJ9TyOiuC8qh/IbxNPUyWH2i+kG3SdakvtpF+L4bA9FmuFsLZ26getAwWhQIyn0ZapIo6zwkJ1oEN1p1k2behlHBkaZ3LDHUqFTEcWYJIfjEtNqvRCpSnzEA0I6qkny3uF15pg+t0zWKrJB4EDeXkoS9p29d1hhlt/KRERsUiK1WmRjUnpCbEzYgM3j3W2EczIpJlwgJuL24dxJMm4ynK8fQziazmqE4lEgyURXcQgzdRuMVPymR8zJL17le6qmYdE/oP3vnXZiaqfXz1D/rzvU76wO5F4ZYkNJmN3Hux20KecWLtLqxhJyeKJ0XCANDdK2pm6tRF9ys8p3PE5UcYLWrIIWhJD9rU9xqz/ROUFmL7aijLYsHaUgwYxBgDebS3QEA8GmBQZ/8tVcWFJ7ynTIv0DiEzGZaGLlmwfsTkG0cgzXojy2DBhBxGzTsdWHdsz/Zf+jIW+JRYXOa1+g1supgDw0atSFbuOiClcaKvfQmHBvHkJF79pFndhhdPFRaW1yBez1oel1ifew0nAyH6WNnNZZa0G6SEDYNCBZ/u2Dy41laO8UO9tBOMX8SO/pDOxjzj/TI4uVvisIEGv9jR6+/L4JbxK/dc1eW4niniuuetE4tV46BmdGLIdocEyORYhT6lWxadN7Oe8O6WYfkZXSu27TyKzWfk33cJi4f4xCLXqNISJewBMl1Zbg67YyaYHnKFmGx3czn08kA4VLE0jifb1EBA+bn6ZfLFtRPN2tBxhocXI1EZI84gZBSXlHpkW/pMYoPdTub1sVY5+A/1Wtw0GXbHjtnu3uex7tgiWKyVhNgAJcp1KHESR3Kz2pLCL4Ob245dcXalnmXRwYwu0uQLWBcWm8IhElWSqSewuhPu6OLAkaWfq1kiPpA1qTKKm0VTx65jMTu4bIL0M94dvekREkhoe1FP25PkbfMnOcP5IdkdazVEFzNaXKb1WllHR7kzmln88Nc0mjaIp5/jZF8A8nuywtqXWOgXWVoMj7kt+rtPPC8782C7P7aQ9fxXEdDAtlCudeV0Q2jTo0zrfZ62ex4ZrUUTch+o2F455dSLWYQin/A5roi8KAE9RyxUl3DcY32HFScaDM8RC3ZVncfb/WTZflf+6k6+u4OX/u6tpuShYhO0X+JkxUU4l3vpZI7iMqvpTv7jBmJFZkEhbSyrGj52YHerS33sR7p/I8zXyrVoQu6TeMBsv9qnUkonC3MPz+X7JzfQ/IbnDlF+FKk6JdzvEhayvKtzV2pcm7jpyf0cG/qckekFgmGXsFhgOd4pkeMEGWjw8IzPqK8r3AxKYLBGJeMu0fh1x/rUVYxF6IKPtcH/yPx9EE9RxNMfOGnTc0Qu0XRoujs2tHsZAmI01laOsSOn9hCMtUE7snJJh5gk1stHNKkRLPOiN3Kumz6PdDPGnts8V1PBtmxHTtXk6YnvGnYSC9uiVDlK1ZwSodWnCDxyge4UmmD3VtbYyVGVTB07iYW7inv8gsXm4WBiH4OJPGbBJTvGElGTup9isCaWO00LCxP2vt0xPC99muUsyNNmWNtBPGm2Hgk10+IrmE5rOMLRf1XxtK7p6tEXyJpU7sPfnJ+OK7LsmuqOCUHpD++V3ZPi9E0fJSlCpdOnnkOOrg3LzJWTkBJJiW5Lw2zAbUeaWofS+N1vCncj5DLnITK7wXxAvWND1xiciEBkXcMwDHGQgN2DsQQ1D3L/satYRI5PqdQtUr2Ouh/vEoc4Q7csXcI3UNnpb6BcJFSZgRaz/AGfsGAndz9h2VUslvELXnUck8GN/RQV8f0OcEDHi3HD3NfESAuXsv1GCf9tS32sO8bfjjX66vtDrnSVsEwax5NtRSQp/ZBUbXIzpOJpEwTkvmPYHepdlZ3z4u9j3TG2+wp2xzEuEB4QkBxu/PGdVv9fayymoiEZU85B4jdo7Hpo5SSkRFKYPCICy6lT/CjlsRWLw/dTwWJnyI5QGB0h/jOu46kbjNjdDufVGmcdAw1kZ7GAQOqLxUi3zG/pfm11d6p8Z7FYwi8YE+lH8PQYxGDPjWb4PH/SEYaz5SccDgTkwauEZeV/rs9xmzyGH9142vR/E19rfwnNsnu09cSZE/3lDcX4j29MfZJrWjkJLRby6ztLEV6MU9/1PWQH7hzgMHxJARbjDqtIDDHyqfAkvkx7diS0A/wQmBggECAwgkBAQoE7BAgECGwVgf8Dcdwj3oXHzm0AAAAASUVORK5CYII="></figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">E2 Example</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Q</strong></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Expand&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">in the descending powers of x.</span></p>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>A</strong></span></p>
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"></figure>
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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">E3 Example</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Q</strong></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Expand&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">in the ascending powers of x.</span></p>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>A</strong></span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;&nbsp;&nbsp;&nbsp;</span></p>
<figure class="image"><img 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"></figure>
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ICFHe23y++8aZbDsJR+4s1hCPweHV6eR7amS+T8WMlxSLcraQZDJGXO0TXFFRXpWHIxmeAdiAqYkEo8S5TFJoFRAF2CAu0FWfksmmLGQlTTsJtYXHvxFqNktdZRpo+XQeZrCIo3J5s3brrNxP61vA/xCimMYImEsfLSUDwv5X3jlFcXISo/DfANFBDzflQ1G6W27jEqbp31BCmJyqFlHrWgfW70GgtPWMUrFnNf/NeFoq2ijmsak+BliN1TEA9eE0fZh7yQmvAhH2I2d5DtNXG0BKeZhYiYaiELkoAjKr0hlHjF8KjhCB9bS9ZcTYflJtRgj586ENMe54s3AzfbQeBmkr0zvuFEXmPBHToViJGSHO2hKR4EZ5/xvFdaeXmPukucWIj9a1lvCw0Eh3d+kwZ5GgoHFHqim3UHEj6274DY18K+xkJX+9kx/m5rhQvKZVomDXuNhdXmsKFYLOeh+JWvu2y2Q3zjXpNLF4eXIV7APQr1YbYPdXADeeKlAgb0KPo7e0Yp7wfHwifImF6jRmZMwwASf/851ebPDnaffQOhwDfgY7vkloFGfTY+CzWyr/2EzsSyfrDnG405mOsSiQ/958Iecx59wSFIy+pR3IEn2AuJzXbJMtBSeBpSVfLq1FSR9k3g030QIc1JvhyOU9qtf/X8TOW+u5oJhIb9OsnzseEh/4w313xK3YcSyx9b48cGr9O72hY2jdsjsJEy8H7c1XOU/pwtjNMpYHAeU+Cdt8hW//x0+7mJjNv/9Oq0oF23CAaV17vBch6KNxVMV1b9MKPhw3+eXiqsSzsvQ1IMhmQoc0xOoZR4BBXRCAu3KTdEXRFJCRthz+wPGQ6UZWBvyTYaGYeN7F4onpNvz7rxK6s6HL2yMo91Jz8aLcb9u+G5Ke8jRGIR9lzYKx3wVQwcnJLDwNEhaV0OWyuBYZC/P0C2kWXODAAzK5PqUyLVUxHJOgRvlE8omBzadXkLwtOYF2pYMbSWj1GVT77HfGUWzfOBNAMJJFlOuI4sxyn9EFO8g4cOedfqBGxYAxTqJB9xehR4ydiEDzlHwewFT7iOVH6RrIbgHohATGTjJ6gSP06jEKVUZkBlFBhEQbwZgWNhjyM5GtWGyt8gG+b/JMgzHtxGscc5vA88sMmhVle2cPeumUjP8haIJSOPcXuv+VY/UtagQlNw/goeXBYtx4Y4CSU5WQlRVpaVIE9WhckKQ6pxbIB5PmCoEF+Dk3fve8WnrOoSeBYcN6NZPcm5BzHvoLeGJ5Rt2rSOo0fsgND9qsN6hedhiPfwx0qkbqaJGVYRyTq4jBrvDSBsiP2GqkiChZcu3KXVj5QqSUdLa3hp6RuUfe6cUDs6mhKd7TnQuwH0iqxE6jWlRCrkMcMqIlkHGL0I43KHOclhPlf+mh+9amJrDhdO8leO83vfxxoIUlo1S/8sFlG78r1gedwpuJRqTrXA/7C8D8PYCyR/C3ZepMcmnv7hhyAuzDGdw3FSs+2VZU5b5SGhkXkZbileBiX/oVagZQ2y4Q57IaIGj33oXJnDC9KuN6jyzR9ragPyIrDnNTC2nJVsrpGrziXZgo+Xge17hE/tMFDO1nNznpV35uRleC+uC+KyXZBpC32OGBqswem3X8gRrAPPU8PoNXgmBObt0G7c6ZrZ8MO3NXfer5j5zTq7duLIcmoXd9D5dTxpoA3duJECoQVMYd+K8KY8XiPueJ0qr/xMW9vtX/4U/MH7cF3j+vpOugD+NAJUTRr/A/MeWAcKqGHkGgk5gvZV9293UJUnLzdH++o6ds8BjfT1lykLRhET1ULo1Ep4k6B17fg+7X33135lUMEbPA/XtU7w1nO1hbI1QoaBJh69/WKu1natgN4auQqPhCaj6zRlsFN67/vRp6zqn/3bD2bo31InN9A8DZozZJrdJVLX0cSnrCKS9epz9BbC1DSCdtGrhv5PWV6C89yH9B9aVEnKuv/pOzsPZIi536O8jT9bVBskuTkrOx8BS8foLr7jP0fAVbo5GWSDgcWL6+UA9+gulicQPmQjsjIX3Uxz7wqmxNPEGCE8MmwlHc9I9mIk0vbWk1xVJxIf+jw55P/22ITXYPClSA6XKcEvQ+ETpOPlNfxzkTFWyr6ihwGzFmgiKjIWGl8WGlWF/JGSOj3rwyBVMycCDJ7xVkWR914RZF6cOSnVFyDcraoXsrZS3ZEqGpS9EhBYp0S1yEtB3og8nMcLw/6/nrOy/5HnZR6rqqhQS8xNc2neR1IFJyo0Q5/KIn4KymNQWyBrKaHojLxWwUViCAo7inv9lelDK/D952FuS1T+kp420QqxrtqTjGyk8uYOaguRpB1UiffIO1ePREoQFsY2xx4X+3sbOFRSoqWNyD1g8/jkS/ixJe9xTsENmdHu9SDnSrDa+wZeXg+KMgvjaK/vwxFoKs58IDYUdHCu1/popcFGB7EGTZDn2ytLSTqButyyoQBjIABnlhyOlA+OBi1kzEUyO/IrInpmkijx+0f+FvlPEu2Cp+PRj2eTnrdlTrrqCzp4V1U/+LPK/A1UcFBgGX9OOqNX+iuwokjgUdh3scxVejCH9WGQ4+uNZb10D6FPKD+Lw6DkH7Zgf7kgD94Jel/IttKho/sgD971zgug9/gM6FXyExi9njAfSRQpW5DXgJITUNhElaGwNijfizvjE7TmbIosBhpTDst26ikbsqkNkZAu5xzUlgs9j03E89GdNX8NB2YctdPouETXMYXiZBijUfwLU+Cz/ya4Au+BB/vQeamvQViRfYXykH/wlSWGkMnKyp7HXNiG1z/0zIWfsMcQ+k6FuVmkCxKPBJk6Dz93QpipukTfyLFBpnvpaoXgfPsb20k8Nk2nDYrxgYJj8mVqGaemb2+nPO1e1MWXZlhvjcbRFvr1z1NfMcm+devMpf5GzcqcK5TbMEKvCNnahw/9cxe2Zk7OND53QjO97xL9ZZ6NfiDzp5l5+xs7SWz/IzUhN+GhJ9/BvpX0+YXUvS+P2kRphh3iFO46THdarFjD/LzyIuJ5vUD+jy/1HdbK/L11h/5cw2V8+eFszwTI7jFkp/3jvsv0TfD2Q/D2vlXz+O2/3EFi2x+okQueO2HfikpJOzVacWAjFTaMPD6psacsHAk0Tzc+dzzjD/uu0OqloPntSvrnCu30O6t2kqvlETXyWm9OBN5oi2zIS9j5g/yMawPiNCuxV7irh27/IzzHCH877Qhinepz8R3naWTsPv3fpUJ6GgyBp+YRF0fQJAGfp2JQ4CPOFXhDBCU+3HjMG+BNsMarPR+eiWK7f8JzLPSwcBkdSoAi1B4lP4MlTsQyWoz3RsB4NhRJkhuemaAsRzVDGuDL8kuKgGuR90Bh2N9YiIKRrikdBw8FvhDF0hajFaVve3HC1k0jqGylC0hiZ0aKDsX15yrisYWxRUFW2Fvm0tznpbmNhRlFcao+Xxqifn5iHB9ySTbSQx019J+Hvxirru1gA+V1oARqa5bsLek/UspZrAYq7xXFanMQZTiIEh8tXdjjIq+vdpc/NdJS7PEx0ov6MEnNgWOzXIrFNTVB1sMnCHmKPlSna2oJv3j4FHGmYnGL0cZZR7EG95ylO6iC1Oo2FoLxxRLAF6Osa81a/PWTU1SUfF06JLxyErTlOr/rogu5C1CofRTSk1M6QeFvmwt7jFf4O0cjr1+jVSzZ+pR/iVHsa2Et+FrL+JKvm8Azda4T7C83vcWuzUYb6MX+YvR+/yqtchsLHspYIvNinBrUzEHmE0L1oWiXY/Lvc+/DQuxDK2bzKMa+E8+GIj2mzp/wGstmbhp/h2clwgUDqBAmwx0oL7olt5Sb7+Nwjik+MNzl34JNiNuwD52CoVqQm1VhlDwcWB18Re/Uc0rC85yZ2Z6H4XiHHc4xwyDKCzLVfOXmaeLNxc7NxkqByfTSt39Md773Pv2/W0j+Pu0/F7wZWvrKGqquWeOd4dPTiQ2fiYZ04DOjyanWKP3VCikH+Kz7O8OMgfdPeD41pdMy/gTz1pnNhXs11tF+6nfzl8eSrc/MGhgsBIn+dDWqAeMfLxGf0ZkUhD8F8swaq2mzq7VOH/6++3fmx8TPJjxDdhkKb8WPXzFWam13sR+//VMaee2XlAFj4cshEq0dp4Yz/nT1mwQ2iT47Gw3cCbsHNC/605tnSGMunn7FuDfDerefLn3np3Sn6p/o3/9duwi9L/wSqPHOW7RqdTWtYrTK178hXCuF7pCEca4MlJSQpATTmLDhhnW1SKT1lOssIbMVLtpuVmY0fqMhWuKCeXHkU2xcQ0oypp9CH9mLE35mTyhSbYhKP4yeegOU5zgrAQWbfSHxDYUGC7MqyAe2bfAywFMRb+WjUOMnQ66BNA+x6jwJ6LHA+h0YKhAe48OMdw2yMCacpLuXpHyHsXmMhuZdqhWhXx0tctgNOyVnPQ3s9jfEcpuFaz14lMZMFTEp85H2G9YgX6PscVE2TGwWajvbNKdKUqRxEvl3FmZVkCeJ1G7jDu7qpSFUQZpPNSVf2lgjOoMNMvURqkemg0ocjZ9yZkSC+pDug6hCgJRqS1dkY2H1o9DlVBG+IhQshdeg3cbL/D06JyxOUIgRq6qUbUMIURD+BrJlnTeAv3ssjj/kSTt7gOUbPJcnujjQewjVoIZgCC2Os+pTPOuENXzLtv0LeJplyiOzYDwVokKXDTzFW87WE4okIiFaCQfa5kf2Xxxd6fxFARTsz/i4y5UG4oB9qGG5MCwH4dLR7YLFtp7az6KMK6okoVpZzM3WIuHMwpoKcl1Oaq8UDkKmSzrCJ39HGi9gj83kVCIkyGcReuR1LUdWofzKhBaimlam8BttYZjOysBHy3KTWWLypbd3atZbN9Ax4MOqJAGfOd4AZgwU5DpnuGOVmkM7LlDmxM+0ixPUuVmubLQXYUGuuevxaq5ciMhPCS48PEq/0/A41Q/dYRn8Zbwp8wcvw9s7tBts4O9cQ9AqSZBdRkGO8zF3bK/2Bzt66HeogrTtV4np3oyqVI+XgreZYLzlybwx49l7FR4eAW/CIvAWtnISyzcoyJ6ZBs0ZMs3v/CKt+yfEst7D3fuFMhg8QMiNuqiI+sqHEONupfr+iqAhR4kCmY0TzIsTtvzmPDwW3g7UZCbsWfktUO15w+Ecyh12g0ToRHI4O9ZC4BuOExO6sFHbbdpSZYIjKLFZ6cmSK6OZYzTvM+FkHiJMQMgG63dQI7vDZq+wZVXRuAyOniRcejSwwbCDIzj/lxBAFX/VnVDEyc3XaC31lg2iSpKNa8AeR9+GZKd2hMTK9K0yomN3aDPWYNAKT3GiLCd7++Q+sGHCllVlHgsWcxPhUsaw8UsvOsMaC55h5PXafps2Y70iXwV5t4lxi3iqKvmv2TBlVdEYLhr+zC/hnXDMQ+/8K+9EwtP376zhW3XNuoB9GJ4nudldHJcSisQJoriePe2sxoHs7LfAhlAVpdtH2cXoHNCxksAUecJ598VdA8gzqBQO97/KSqO6w5tiHS38/fIaZHts7zqWs5DINQjlPvC9Gaas6qdnomZM9grQarqw6xryFJRqTc8iXCXYJfP3I8afieUs0MNgIS1Rzzx7o5yo7JMfIL9DwpVV/aw76lmYMcD469l5DbkKe7WMvy9l8/TlgBFk3o7foVfAG3IW6GGCki2QZO6X++DmLXRZ1Rg8FoxmntFcuY7lLIDmBUiAiVoSibkxSTkMiSEu6lFQ6UBOT0a2GQovRX3pWQthBFSEylGg8RE53KLcgNJLidUzo6YxnhtR6QSeFH9Nz5vs69u4Ldok7XTEN0qalORl5dzcN3k9HlxT9YyHZvYJH4k2iXniDl3HA2VYq9FnI6WKoxDzGPOiNxbc8m4NzE6OwIK8xzllj3tyFPwekfe4FB9uUdKklExFNSWcKLM1mJIUk3mIFvSiTKfFbSz4hyEFG1a+H0nRLOeDrVfdrcQbgPNgZ86jcn4CSxRGfkJCE5THlO/FTj2+F2julthyPvEhgG+Bxs6O+n2uUI3blsQ3RVRPsX3IcdflfbgkhpAjYlWMMEMrkhskJDfk+1Rr8ucJvRpeqEUIlDg3DyIqChf2piyGDzJFWP7LAyFnTuw66yHxnRccGlF0yXvs2X9fWHpjnV15DzP+7tPvfsP7+biUkqkHtC44iFi+zJcQkRZoUMQ6X7LvB83T3/3GgQwnoxnyeJCoBOXxUXzHRfpbw9foAcHWSrNLNhgSnsMQpTIXFxZBlXg9ybr/bf/Sm57x5bCRblYBZ7bDse/c+SEMgokxOZWaEB5KU+lmMCQL4ycG3/Ay98iXNd3K6xyn5hLE+J7376kR1/pLwUOzNKO3wnnWfoc1ewl/1O9dq6zkaISk4ISwkKXHh5yTjfRQGrDs2Wlvo+4+KOuo9TrLglLxiEIlTAdV4hWvBIc9fk80I1/YvwSqHJrTjapGAxWsc/CcbstsjwczpDy4ISQ7DtiUNajQZJpDk3cNontz7ol71LQ9m2zv9VO72bxgno5IslcqIun524eRLP7ox4LOJ7SoAOFBB6mDH1zsH9LE1ussf5eoffWjtOWP8d+3+yDlHr8LeaCUZw/k8Xli+iZMjH+ERYR4/VTUHPAI0mcfspKqCXUIwgC6jl2xA8rLw8/d5ZC+hsM5vGKY4S4h+TlQgZcbt53dLNy5WsH6DMwJPWL7EJVT515sz8Pg3DHn72zfo4PhHSRbX7U6s4W5Y7LB5DV4bJSaduZR5XtKedZQxkWkPZDMv8uN285u1nyESls5QRKRl8LYfBZa2cOAw2rGXw68J4278qmyB/zlaxIr6wQxLYc3nXtF+9EvK1hi75wGbUv1X4NBAO3ax4Mg8wbvJONt74VL5Pp5NtWmucXAaM5u/Ygay/87aL5MLvRNKExASaOJe7ex45ZRDr7jLyPiciGqdoVbCkkKSYpOmfMS5k7gDaXw+zIQTImfLQcaogkbG2DISiVHDNTpTnIuLsiUSsys5CYq4aCIUGCkirdsKeJ24u3CnKA9GGKYGDH2jDLEwkBCX08KvtHInBmKJZmdVNTlyWM4TwVSq6RHKb1E528kSta+ND+fj6OGtvNcH47N9EcVmtFfbE7ys1zidDmq+pT3usuX1iYnvsCPSc/6Q1KxyAr++Cvw8q1yT4V2slpLUQ4W3ZTR50BOet5j4NqgWDWz8BVWsjQgeiWYEj9bbjVEEzY233UrlR7RU4fVLHd1nug/4iq1XEdJ0ybaZ+IocCpvb4eyiyHLroaTq4cmq81D09y7mSFTmtnBDer1fF8ei/M/z6Epmmh45go16K9RC/IZfHs/JGodxT1O/1tkw2tRHJSr/Lh8c1rYD2W9X6OKR3pv7f1tMCJKMmFEfPCB0LcUVWfaz/O977a6DO+slPlb9Vno3Ie4aZzHgywnAvIAvXqhd6k4w7W/x1941+zKfudnoPd9WmWKr3O0t7xpWQ/ZbvFC7Wn/hO95kBzhUYNyWHZnHBWnJNctfm7js5ADXMe3QM6jCO4Ruo8DMwln3bmwwGfzmw2UC8WIKfB3r1mdt2AUsCpEfnNcr6Ttyj6U8xWwD6e3r/8XQfz6YdqLkq6ISJkTYansecwF54xvMSS55OrLrOTqOYE1/fpQyVvxu5iRsj3zhPCVWwbN9jzXNLW/J1ycaXEa/vEb1Pi1X9LvHrHO10ESrZMnlPAjA58dR7PQ3M4i5yuM9x/5w84N/4KyqQo+iDYi32gjZmTszDyu+ZNL2dpXc51/4I69p7kw3TKT/e4hmb9cPvpO0ylh+fpehT/rermrM99/5NGOjf9T63q+AfwJMCRm7QVmYOzIPK79X5e4jOZc5yPuWI+2548tj3NafgHefkEZWaGTn1PCS5BJWOfmnZk/yvivy/yi5pyZT0FzRs8f3p3OafshNX31Z/QbVEoKTH6Ohla8Q6bf+UZdhrT9x7Sv8hdBy65GM04y70mKwRCNMicr5KhJ2n17CDGVbhah1LP4eqPRKOVv6STdFMs1mL3CKfFZFfupHEnMgZ2Z2dNZlk70Ca6num50gbXK40nVRlbasc+v+7Mf0P31KCWIhM3OxMe9J0Kg0WDsmUepmIQypfIPbagFj1M2KM6setKTjG8omSuJyESTzTAW3GvIVNVMRuSrmLnbkDvWVgKTvRMhz2A0r6s6Qsb2CjLzCs3BjAV57kv1UPKggHcwBTwx+Q6ReJKV5S2sWVw3xz7krIty4Okmu8c+MCYaUCPUoiTgimzBGcubqRcdX03uMrEBa1Bp0BZEiZfljSTmYJ2Z2R7vxR4/2G0hVDCV58KLhMqbLspdZ2e7P/vMhj3OcGs8oRgu8YTdh6JJSUYm7kFjBw0gcZwZBabXsAaP2VD7/w6VNaGsbLoZC4CGVbaKxtpkhoLeRjzjrwJJ1GvhifDyJyj8rUkjY0FJnvbQqwe9DtHM3gmQx3ovvfEZC/KK6mNrCX0cfmQK2wsh0r6K9e+zDePO8mwfDiEcLETUjjy0UjHJILSiPI+EMqbroQFcdLY4c6HY+yr+3n4LKANZuX+2d8Jsf4ZzAuueviQg/Iztw4tcA761GyhnL/onSORkR69lhy/Q8Qq5hO4cr4PcnG0lmrPtfA99GjyJ2bNIsD1Wtnc97UVjN8mnsZvszagk4UHDCW/JVvaeX/6jStqguU27sDYfppmxoDd30AWuEe+plyh3L2QgIWEa+Oxq6KFj6P6Mfi7ehGfZG1FJmo8bjntLrpr2Yc0er6SN2ju0s/EEPTsBYyGgFGusayiR9zP5X+AO08Gzmyh3n8zfY5m/t96jY3gPk7v7s5JoTdqP3zpOf+Eutyp/o4/vpZcywNvhE/SliV9nfPlmYpKfE8EjMxTy9lLGx2/9iL6k4eXEaHm9nQDNixjNx+nBxG8WFUZImA5JC75Hewefpx++u46WIifiRhrmRCTFYGCAhFPg2d/lxFhdEXIO8I9/PpGCZ7Ck3zBKPCuN2Yr6/W1w90/2SZKvQujACTNrveZfqpPNEbxcp6ckKav/n57eBQWiSBh7FmawsqEwFuau2ycM31AyV0Ls/NeQ3FkcP8pLbR4J5Yl48QQbIzjND/kilPzx0ByQluJWAJ4Xd/MmrhBrVWmOlgrvgnv9vYoPudVC1oZ+2KH4GASJh5CTjxevpZpaby1NJgB0eHcETwsKo8SzcqctvWVim8XClQWUZMUeh0Wio7XI0l7r+z6ZQunOIF3PPE3lCuP0LvjsLT+a7CgTy4wDJRkZdyHJ2LPVsAb5tfhRRsLn92StqXjGRXUTQaY71HWzTq6kOUpFyn3gw5OQ6zg5JaxFvLyHv3gTdeOhO9IzSvJ0AL1dU8Ia/CiXoPThI9JYgX/39GxYtrMH+RswOlLmXXDvQ6ZQV26gSuxDplCHC8XBHtJ8BeV5fEX8q2BlN+FpqoQB1AADCE3bCBWavGx/jRnuTIF3z+fbBRr7EDrFYpTO9S2fy/ANU0IXe16e61jwZGVG87sXdjnb128QdvTMOG9/rngM5K7S7LDx09O0xF3eFXtMsxo/ylUsfX6PVabJut9xiiU5f4XWrK3GPz6zfPIrlOv9ld+0cldomb8z9ND9F8epKe1q/KjwN/t7suiNdVzIH4H34G8N+Jut7Qpa/flTEq0x+mezCeKQXcYq/LiKTerze6w0JOt+0Lxov0xzN/2ZRx5dU4u+iR+/KdM8+3usNMg5EYsOZBSU/oTa4F3YFqSpW6xjJuP+pBkM4RT4eBiJRolnyb4SjIbl5uU48emE0eDvoYhmXrkZ23Iz3WYlOHXDSc3eU5TYImaUREPanHsSifGTim8iZB4X+GEemq9co6XHXgxjYbmJu13WR0Nt5riMBUcXM0qwBk85Yo6JZQp8KxT49iAKfLQ8+N4XjRIPefNib7m4wrKCK7/YEVdTM7kx2goL9xGMBQU3RzSH6iFZ8qVpN2hqjaHnQzw4RXpGVtzRxOGTUwcozuI6kaZY0L9jf0HRB3+on7/Q/NmLkUC9YgP/EU7irastcZc+nQ9PrGdEy4VdrvYNG/hdPgp1vELy9G34Ogyg6/Au5M/pzBxcgY9nPs9czNi6Du9C4FyeMVnytvNimfOF9S8KOT3Hnbdz7QsaZgR5aVfbsQbPHIyH7bR/RlHe19Cn3YfSntZYCQRvi1btB29n04M3fI+mv/vixoxbJT+h//OxNm2NBYZz0gwGNniilLlYlHg25+B4ldRfX0J1tEXqbA2e6BxskbFOu8tLJmk/kmR1slci/a9EYPyk4zsfmae/hINTWPzMpLi85KccW6ttWVnoZJw6z4IvRf4KfGdcCjwbLxYlns05MFYl9teXcrff2yxubbEHTXQOscfFFSWT3Osd96gFeQWOUB2gY1wYXpoaSrkVoOlEy5ss/CK98hNi5Em9PTwCrHP0itJJ/vUTd9laEuBZUjqCL8DluKkTXBfKXCs3vMDn9ZyAQp0LhZr1XIjtsm9DyNLK9cKHzFvy+88jKvAr178gxDsf9rw810eoY7/4Yei5fI2Gq/eqnJcObxcOii876959k4XwJLynQ2yIqXerCMSPAOsc/eL2yYwqJH1v4LlFN06H7/8Q/0yJeTKpBoPHaIhXgWfPx6PEyyFILNQJoQ9dMQQms067LDxquCvFXZvnKcv5KMxPC77xynye0C/Y410PdbxnrSa0MkocHM0q8CVQ4LfEpMDLexzGD1Pi3+gYg+KVFZUSL4cg6dbKe/zUgeg9dNjjPAtZunnqFPoMJ/aSaUL41VqZpjTqBpxYNtXR3AiwztGsa3Uy1lI8IDOj4drYa85L9aVCnaQo1EGTkkMMvi1z0rmyZFL4PipIffPWB5rRCAYHO/UPnC9aBR7fHefK0knhe2wug35u4nQIGuWQJ3RqXgPfUlp13I5HYOozX3gEWOfoVQjd+tfu6Ht3LCRoSTcYZKMhTgWePfukKvGpFmq8GKv4plpST+d8igKvGOmxKPDyHofxw5T44VNdT1K7k6dTkCpXTzQCjpMnNbR4DYzW2BXqk1M6DYurv3n6VNQYxDsfvjvyXL+KYa6oiVJvVBFQEUgKAikxGJJCuTqoioCKgIqAioCKgIqAioCKgIqAikDSEVANhqRDrE6gIqAioCKgIqAioCKgIqAioCLw5CKgGgxPruxUylUEVARUBFQEVARUBFQEVARUBJKOgGowJB1idYJ0QsDTMNDahna27DKWozlfa1r324gWP6Xjs4GzDgVWCUUDwrFBNFdDl2j0CIh2vHS+j1VVOlJfx3WjQWz+ftYETf/E82YveCDylmOcJHffdV9lvazHxRPBW8FktctCvby0+pFQi0Zu6bx+VNpUBFQEVARUBGJDQDUYYsNLvXuBEWAlYKEoUjdtoVhK5jKylU7herLm99G4ZKIsmqD+3Xoyow1wsM7XC8xqnNOXMV6I9dRkxoH9+UmR/+kmLtVN3eIkPqrHigs8VZUGaFCvlC6tHY7q0bS/ydh0jwYrfI0f1HIK0ngu3RixF0y6hBqOl3b5U8Y6LJeezUfp0X30CKVH0U1YNSTSTXgqPSoCKgIqAlEgoBoMUYCk3hIagfko8FAmpJLufPS9qGKlbCP2vYBSIi3XX6b8vk4qQlO+WErmKhyM0wgcC+X7TazcrjyffVO5RG23aWziyZey3FW5SEesizcrtap4HEq4JnhQrK04tY6hxHC6omEvzhRXGC5zm+8NkMltLKQrrV8UutB8C83Lfss3NhaSDR13fV1YrMPyQAf+XprNf7T0omtoda7qffiiLAyVTxUBFYGnCgHVYHiqxJlaZqJR4D0GhZX2U21A52woE9xgJzprl+jpdn6fFK6zNpuLM7dReZ9EumFF2Y/90lOekch6/giNt9olxcNQwiyIBQ1J8no+qJnGB6NvNBiR/0v1ZIMn5l4WUQVujr5bQcSRY7rBGz6EMLChcneITZzdlfvrrTSEMJ1r3CXq7yexoKCY9KYseItoQZqkMaPs6AqEgUmNdG+g4gvZrK1/dx3R6wNkHl9JlVgZgTFvjq5hoWWg17VHsPCUe9dVnbsZRoPqaYhpE6k3qwioCKgILDACqsGwwAJYqOlxUovTegT2jA/GpSxHUuA9hgKnr1ZYLA/OKZQJrnWwT9rNmely87hUNDXX04ATTPy9mozN6MAdt7HADti7OPvguEQIS9JzVoUgI1PSmcch9piW+WLoQWTiSAlZWUoFjJlEXZ58hrL9LjJwCE+KUUG3Fz+Dk/wz8km+FSf58eQ+MBr695RyPLxCZb0dCCHTK4p9nN2VsQ7EPTyHGP+DtILy8R+i27fbaKiuicYGrKLdbo/aaFA8Fd0yfxXz8FQospNIKkyM5IZs2bBoJVHeNcYy6u1AeFkc9Nm3ZbpW6M/yr9y7RroPOGE0SQo6C0Va8ds3+MFH54SXRgZnYCzwwZBwOGA0XCxzCZbtfNPdAZdus10NT0rMklFHURFQEVARSAkCqsGQEpifrkkiKfCyIl1yHqFGnSS1jhMzBtrCQABlgmvtK4cHoYQZMNJUl78HYeJIHZ5H4q4lC8bN/LBkOQvdLIcBRoInh0HPjSxYDoNieOVTuXEoLEYxcy17F5ronomjhYhGkg0W+eQdSq/YQmZOyTWImY8gD5T3DiAPmOOLMF5rVTMUfxvX0F/BfpNDsVJ1QXZIUs7nygoTIzvH8BK+pqZGJt/juVhfmsc8FzEZQynj3x2K9Po1Ez3i4PT7uTKz609+4Xohcy8NLtb7exJMVdRkzCbr4X5CYnRKZZUqTNR5VARUBFQEnlYEVIPhaZVsEvmKpMA7uqa4IhZL39VFJngHoiIFykSzEQnJ9f0IXZp9QgnXwXkrPAGwF2g+9oLiEUBVnT6fHIaqZsnY1r0gOQwew6u8b5zy6sKZVFEh6L1pvt6F2GYLfvfE0RKyDRaiOlMLWWAsxOOhiIqOLIPsaYhukUU1YlQ3Kd6OGq7s4j3KO9ROXIIJYPkoxZsLRattlBsHRVi2aXfdZ4b80BC18q2ynaAQaCEBS7ms9x+p4hERUhq8F3gSijcvc9lsB/nGvczLAM+HmgSddnJVCVIRUBFQEQiGgGowqOsiJgQSqcD7TszChYq3GCWrtY4y/bwMSqIylRu8icqBBBdMXpbMrEwqSqT2DbaypF/OmxcwBM+EJ+zKrVy2ne+fzWFASMkQVM79MEZiD0qKCbo5N/fvhuelvI9QsImge4W8np+8LJrahjgPf6wCkkQTLqWEKlPKA0qmLrh3QVGmpfKLpFRnCu9ZgPxEC/iTIL/eAcUbQYw/eCiY0dE4poRFwUPBv1QmiZaDR7gxk1XUIwRp4shyeGbK6CIwZGprqvI0ZNkhl8IFD87bh0LLruABeDsG3grhaRlAeJGbNznvwYc3xi/77c4r96jVqpf5P7qihqPCzSk3FiAPl6V9iPfQDO+BsJnuzxxdoec9NLMwp5OjJNTUFHmZ9y2ruuRmnehrLHhuyjIw866dRiaQi3QrzlSk+W079WkVARUBFQEVgTgQUA2GOED7Yj8SWYGPFx9FmWijERypep0ME2OEUvtkzMMZ69Rclb44c1KqL0DoU1UvUhOsVHekigZlrwSSmTslqkV4E0KcZJLk0KfxZolKzMhhcFPJjIxxxciIl+54npNDkaoxN7MWkHwd6ip+ZlIEf5zMn4Hxt4+kCo5VPwJ/qFCZRfwUKyvqM8Cln7ZR4ZaxuHIX4uFlriV0HlKUqPwlPW2iFWJd9SCMMnYZqbwZPROgEHuMCA9/LvC3EvwdBH8mK4dE4lKiEy4S3fH7HkPAhBC3pj2llM3bmFdBZEZU073EhjxFwkAORaop5y66TMRx90PLLvOB2FDQwble6wNvNvBWRSbI7u2VpSQF8AYDl/T5RuquNBBnA18MrTKElLWmNpF6W+akq76gg3dV9bvlUUUDFZzrqJvmMywf4pRD/CSAa/s2VEIqgaE3aCFj7r3Qic36PCrETruDsmTtOoMalhRpsal/VxFQEVARSBMEVIMhTQTxxJARQYGfFx9QJlje720oEz5RSWGH7JrScbphBCqZiqUtRitZR3pR+aibRvYPki4gF0I2GhAupSuqpdrZg1GETqXqXFphZTYUSZINFRMMnFBMdj3U8W7+xC2FNs460uflr401Ygtyen9DV8sXTZ0isLkgV/95xKSAo7aDDZTX0UFDrVmyR6T/SClnsRqovFcUq812OUzJwx9nKhY3G22cbZTJ7yyNvIE8BRgLzBjyZUIuHbt4LdXUrvX+/MmpAynzLMyGIrnkUCsQx0JxghqbXVNL+MXDp4jxtgW8WRlve87SHfDWGpDI7OFrbc1a8uGMTh04kFIZnpzSCQrN21zYT7xC8zkaef0arQqTPO04OSwsXltDIJ/ok9NUFGhRpJQLdTIVARUBFQEVgUQjoBoMiUY0Dcdj/Q70chme2avaXbxoSDlq91PKWDWiYNWK0pA1L0kspKkgH3y04RQeYT5F86imFIzPRGLoCUWqDUEjm6veMIgk3lmDgCmUz+dLIvjjGH9DSPqtra1NSOR88TOXRUMFwmaCrI9Bg1z0Rqna476MzWM05OMlCL4uEArW0eKtsASTjLfb3xDLbRau9eBRGjNVyCFFnkRoxl/BUsafjTuI0qsKf4lJkgaeosEG/nwY9Kx/xp+VeSp8+Wty8xckSdsTiiRZ3PTBM+B7TRxdIf624Bq1mGaTvGXe8sBbO3jbBd7wN12CEsDZ3JH4wy3u/AKFUiPjT/dB2H4IDsdJAfJwgWZephlVkBar3ZvT+RWo0qYioCKgIpBUBFSDIanwpsfgrN9Bre+ROsgKWxJ0vqWIFoht0ybUbkUTti1VJlRTSmxGQqIwVEKRGEBmwv/IKmy1R3uF6uop9wqbYM617lvlxDH+9plwap+4RmxdD4v4mjnrI0xZ1bi9F3rKZS6kwRG00JMQm+9/MC/Lr/02bQZ/SEVJWJ85yA7Vh3xcSsr6D11W9RN4Z4I4nZRQJOQ3SxYmG5GJbVZ2NjIgTIpdSG2Yc5m+VUZ07A5txtocxF8T6dMKyl+4sqqMvyg8AEweHJMHaLZ+wCGBOZFUL9BLQp1WRUBFQEVARSAuBFSDIS7Y1IdShoAnURmJDSi8FPKSw3xYNSVcfjkQKSM0uokcwzoYb/6xQkEbtw2jW7PPbXb78+Lu5SbZC8ASRlmCwhMbAG7Mm2MsyKE+SPKV4AYYRQ4Lh5SVBYqoCilIyA6GxxzZBW3c5rg5O4yHNwJvbG2mPIs5uqXpd5fSvbmGZ/IYQesSXfCoq9hHHh+h61i+Ow1ZZA2oohT7YOoTKgIqAioCKgKpQkA1GFKF9NMyT5QKfFzsQplQCiL5lixSujMjsYGK0Z25K0RyMus2m9c5Ts3oGm1FFSTf0qxx0ZJmD13afcDNnwH8XQJ1qJWUdiq1ApriKWij7j4kc1t9Nf9xGmUCLtPjNN4//4LJL7fjHjWXZpPtvX5U5wR/6WYxxLkm+svB24l71LRd4a3dbE571mR5eGm+RO0J6pswMcZKGBRSXhYMXgP+r+q0iHNVqY+pCKgIqAikFgHVYEgt3k/BbNEp8F5G3UnSkRR+dr+iTBjJtyDSbLnVbuqdqAiKH4v5L8nspKIuTx7DeSqQWiU9Sm6yXID5dIdOqcCGWKjO3IvlGIA/bkifxfeXI6687TzXJ0qi/qjCn2+uQ0rpDTWZ3KCrnazWUpR8HRCteruS9LzHwLWhJXIzQo6sPjVQGX+lmR3coF7Po38f+HuP6xVNouHoFfB3jdoQ85+0Pg6JAmxoVJZdYL8Ell/g5S2P5QSc53pbwNszV6hB75/rkChS5jvOtszLrpLMDn7wgw+EvqXSDGjme99tdRneWSnTvOqz+DpHw5OGUrG1vFR2gWy3zgm1p0f9ckfmS7f6vIqAioCKgIpA8hBQDYbkYftUjhyNAi+H2Owuoe7bQ4jxdsMwpMTnG41GKX9LJ+mmuvwC2L39HRC8H9jpOatiP5VbzXOauimJyESTzTAW3OOZqprJiMRnM3cbJTwxT4KTnxMtVKVikt7d5bkNdJO367SSjEwc42/ImiUnAa8rPkLG9goy8wp/aWcsACCW5GsfGBMNe1AVyZ00zYRtLG+m3vEKMrlLwc7y10GD7iRqUzHk124jC+OvCSVY09hYUComGbhWOZu6DTQT62otd2VGfwgXKqlyDxo7aAC8seRu02vg7Rjj7Q6VuXlLVPfrRKxLZijobcQzmiuQFL0WSc4yzUwegkLzms/OCaPxJj/3o/v40DJqPG4iHULq0LQtEWSrY6gIqAioCKgIpAAB1WBIAchP2xShFHgPn8yoIF0Rcg7wj3+uqXJLsKRqKBNW1mStc27Cstw/AUfPbQjlmOyTJI8RoCQi+48nd5nGj/K0T0DyNuNNB3p9o29QalWGSUlGVvjw5DM4uh7yRfjRw19AOkTaLLVg5U/BiFzC1pOOPsvfKR/+pvi1NTVKaVEk59amsU4J2fGLQauv7G6iDKqSvsASrRUePHox1qYfb+mmL5+cKkIjNoXmUXdStOPklOArD8/vsS40OSdCqOGX7bqoehdiBU+9X0VARUBFIA0QUA2GNBDCQpCgKNZF7DQ/5ulDKfAxD+R+wNOXwBjEu+AZkyULSzAalpuX4wi+E0aDv4ci3rnn89x8MJzPvKl4lhkma1FZaAo9Dp6SVAI/2BTlXeEv9h2QCgnMbw5F0V8L3f8ARVEQaX6TRXjaXswSqC38RzAWhlY/ClvONamEqIOrCKgIqAioCMSNgGowxA3dF/vBRCnwUCZQ3chMt1nvBN1w2G7LbM7B8Sqpv76E6miL1IkuuKGSoL/Y0lG5VxFIDwTQid21onSSfx0J1Kv0eqHI4VDzFtJDNCoVKgIqAioCMSGgGgwxwaXe7IvAfBV4KBPS8pJJ2o/qRjokLEeDroPdx0KdEN4CYyGaR9R7VARUBBYIAXRiF9YivuzmqVMLRIE6rYqAioCKgIpAIhD4/2ZlLtHQ/rHxAAAAAElFTkSuQmCC"></figure>
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"></figure>
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"></figure>
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"></figure>
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src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<h2><span style="font-family:Arial, Helvetica, sans-serif;">Pascal Triangle</span></h2>
<figure class="table">
<table style="border-bottom:none;border-left:none;border-right:none;border-top:none;">
<tbody>
<tr>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt solid windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt solid windowtext;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">0</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt none windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt solid windowtext;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt none windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt solid windowtext;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt none windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt solid windowtext;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt none windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt solid windowtext;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt none windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt solid windowtext;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt none windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt solid windowtext;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt none windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt solid windowtext;padding:0mm 5.4pt;vertical-align:top;width:50.9pt;">&nbsp;</td>
</tr>
<tr>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt solid windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt none windowtext;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:50.9pt;">&nbsp;</td>
</tr>
<tr>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt solid windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt none windowtext;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">2</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">2</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:50.9pt;">&nbsp;</td>
</tr>
<tr>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt solid windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt none windowtext;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">3</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">3</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">3</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:50.9pt;">&nbsp;</td>
</tr>
<tr>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt solid windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt none windowtext;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">4</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">4</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">6</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">4</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;">&nbsp;</td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:50.9pt;">&nbsp;</td>
</tr>
<tr>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt solid windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt none windowtext;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">5</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">5</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">10</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">10</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">5</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:50.9pt;">&nbsp;</td>
</tr>
<tr>
<td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt solid windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt none windowtext;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">6</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:51.95pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">6</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">15</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">20</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">15</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:52.0pt;"><span style="font-family:Arial, Helvetica, sans-serif;">6</span></td>
<td style="border-bottom:1.0pt solid windowtext;border-left:none;border-right:1.0pt solid windowtext;border-top:none;padding:0mm 5.4pt;vertical-align:top;width:50.9pt;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
</tr>
</tbody>
</table>
</figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Two adjacent cells sum will be the new value of the next row.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For example, in row of 4, the 2<sup>nd</sup> value is 1+4=5. 3<sup>rd</sup> value is 4+6=10.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">E4 Example</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Q</strong></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">In the expansion&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">, find (1) The coefficient of&nbsp;x<sup>3</sup>. (2) The constant term.</span></p>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>A</strong></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The general term will be:</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">(1)</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Set&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Hence, coefficient of&nbsp;x<sup>3</sup>&nbsp;is 816,293,376.</span></p>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">(2)&nbsp;</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Set&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Hence, the constant term is -2,857,026,816.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">E5 Example</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Q</strong></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Let n be a positive integer that in the expansion of&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">. The coefficient of the third term is 1,029.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Find the value of n and the coefficient of&nbsp;x<sup>12</sup>.</span></p>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>A</strong></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The 3<sup>rd</sup> term is 3 - 1 = 2,&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKQAAAAXCAMAAACyNRSoAAAAAXNSR0IArs4c6QAAAIRQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OjpmOmaQOma2OpDbZgAAZgA6ZjoAZpDbZrbbZrb/kDoAkDpmkGY6kGZmkLb/kNvbkNv/tmYAtmY6tpA6tpBmttvbttv/tv//25A625Bm27Zm27aQ2////7Zm/9uQ/9u2/9vb//+2///bXbpxWwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACAUlEQVRIS+1W21LDIBCFWKUXo8ZYtY3a4iWp4f//z7C7JJChQCYvPpSXTKd72LNnlwOMXdZFgf+owGm7/pnGS64+BsBMeFrmelmkBVpRp/uN+TUTnpa65o9pgazmuK6OjLX5LaLS4Tr6tBU3+tvDA6m/BOcbbHFKOO0kiSSkqbNdFN4sIaZfqsoKGiyCBzjKrGDfWBKTmCxlSRCvvQOAKgEfhI9IqnJxNHkIfj5tm+v999BmVV5PPTQEAHph+IikU1BMHByjmmthkDBT7yLbqYpnLzFJ25xGGHYJw12SFEsJYrO8hw430O9GQA9l0Yji+dDmUV2liQBkGO6SrHlRCZ49IEtCQnKadf2h49g1mkjqdH1sI1ZHI0xAzUYYL7BJ6n08cJfkni9emXojM7FIetMhSVStj5UaHCuvK1D7zyDFFLid1kmVThKyR43BqsJV0gsfKQnaqBLLjCoJiuNMmmlGSxh0OtNxK8A+OGRIY7ifJA61dXC8MwmdpdNtPAQKi5qXXb5jQX74+OBYdhL1Z9SQjIo+RpfTk5k5n5aWVK6Z++EuSVV2/VY4mXE9Oh8vum7jE4H6jekrvjgEjrbtdP21CD7rh49vnKrzmDUmiE5/5wODX018IZgS2pyeQSFTHt/dQ/09PCCJ89fMt9ZMeCrL32rqo/fTfvTOhKey/N9xf+sbMZo/E3xbAAAAAElFTkSuQmCC"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Hence, the general term is&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Set 21 - 3r = 12, r = 3</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The coefficient of x<sup>12</sup> is 12,005.</span></p>
<p>&nbsp;</p>
<h2><span style="font-family:Arial, Helvetica, sans-serif;">Non positive power expansion</span></h2>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">If&nbsp;n &lt; 0 and |x| &lt; 1, another formula can be used:</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The negative or fractional n is a series that does not terminate, an infinite series.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The series is convergent, as the limit of it sums only when&nbsp;|x| &lt; 1.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The expansion is not valid for&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;can be used instead.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">E6 Example</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Q</strong></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Expand the followings in ascending power of x up to and including the term x<sup>3</sup>.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">State the range of values of x for which the expansion is valid.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>A</strong></span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
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src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVkAAAAYCAYAAABQgY6mAAAAAXNSR0IArs4c6QAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAA/XSURBVHhe7VxBbCLJFf2F9j5zJ7fQROvh6pUMznUI+LCTwzgSF3yI8ZyWtjS+ZB1sGPbkaI3nNMYr7XBhFOews5IN61xjiLTeWxxHBo7xfZ27u/N+NY0bTEM30DZe0dJqZ4bu6qr/q1+9ev//+iSbzdLsmllgZoGZBWYW8MYCn3jT7KzVmQVmFphZYGYBtsAMZGfzYGaBmQVmFvDQAjOQ9dC4s6ZnFphZYGaBGcjO5sBUWCCTmNf3dvKkFutGf8IpqtT26SyXE1PRwVknPLFAYv6ptpNPC9Pt7Pfj03cUF8KXy+V0T156z43OQPaeDf5YXmeC3iEtU2k/TWUPwS6TSeh7EYUulpuUzZYFv3tNiVN87QVl/YbFEk9O9ORhiDZLG3RWLs+A18VEyiQ+0/Z23gjTlwGiqQAw+F3bWwwKWm4Q1RWf3qzevAouiaVXnxMV45gL0u/aymFIfPl+g2JKYCr67cL08tYZyLq12APePyrwuQWozPyVHlFOKFQpUfSsLACwno46lwNoRrPkvy7L9+TKZ+JFivSi5a3l66iolQC+SYXOQxU96j97cKAd1R/jGDPx9ERL/jUkeLGJBwK+7BC2l/nsSosobwT7sh4P+Mr+6WGH8LuPnm/D7x8koFIgQZ+GsYmZU6jOHBbTDn73nZbmtVcrQZF/dqTVixlfNjs9Y3DiS89BtrMNpE2wkin6MLA/qacqU9EnJ46yA74EWN8xttmHPJ52Q+FUgTY30mB8xlbbDUDxe0S8SKmKTv6z7q16B1S63lUB041NlOlmMgBT9DxViRGdnXXMw+C7X6vgtzidFJp69PrhGK3XC5HB7oOk0i41amlS2uyz/HPUVyt9pmGxEeFQRdsqbgF0sn231QywvlhRrFY0EEPRBU4ddmv1Jbbqm6V9igVumS7GqfmWikK33bhje6/tY3s/HjtmVlvd2xGHz3bp/RcKj5cx1lx0fe9Oj7VXviVBu5falgqgfURSgmcga36QQtkyLJVyAiXe3cOTtrqWJAGGlsKqXtoPTBQY7HqeSTwBK8RGrVmj6zbouR2lHfAxQ1Vg33ABQKcbQJcASCpxleLnRM1aRje3+U4AygA3bq95F2Dlb3EqYmFqtt9ljC1Oynmh611ux9d7f3UtT+foQ7QH5CXLzQFoKyksBEm2qe7Wpl76Y9xxW59v7SVpnekcmF3vlSv/6NuvVbU1X0xQoQHQUe6wu0wGQIzfFwqNuwDL4KvEhA5fNuBLBvDWD2s3QQByHH8BaGqZTEZuzVtNTKRBymjqc1ry0Vjsktm5T2wJHYMNp170NSP87nt3vArAXxG7S6ea2u6fU5vD79pi8FC8vDyltHK/eq8nICsncvIjVsUS6ftNkh+nU2t4cJ+p+alA+opuBFPKtwTJgzdOrslBwCffEi5QKX3LJMtnflHBVjtePKTjVrqrI8MAqrWXh5/CVFgKYEHoHkN1jX0I+1lYa658LUqFsK6oKu1U09SWT8ca/PzViZ7HrmcgS41tUCGskLpT7Wi2Y73UxcND/eGiLduFWe4mQpQK122/m1wOQFtJgamuiEKjpqlKN7trvX1DB3qYdoGadZ4GdxQf+PJdjIIAWIMV+n2YN1q8WBTfV9/REqipWaa0gAWvrkKasGzTYQeAeF7MvY6Rut+vfeeGYHa+nY0SiJnGmmyQjjqabFcr8PtuOEjrf6nSeluzdf6Wh7vTE5Dljy8a9XOAgmJgQA83POPNzArUOsCj+fii1YOAj2WAbPSaGaxzE9sAlLEQYdcB0AbGkhVjze07gWX0RvsDS8sUVgEGH8cHvA7ADpGVWMNNLId1Vc3TkxHYrHNj3b1zkD/Gadd81gTxVKVJc/mDwU3+zgAdFaDDgSJD2CSSAaXIttDDu8TMtBdjcz/6AWpQYt7kOkBq9yIGwChmAyTzrqv1Nk8HC8t0GRB32h/VDtht+V7vLmjFw6a41EhThMGmzfZYw028XNDW178Su42YXFgeQwaCJyA7qpG9eM6ctNAIHG3X+UOPcz6JJYWow4QlUI++7Xc7vkHAZ8uC5BYev6Y2+47XHqCadMGibiroTkYJBCmEx+rnDUrs38oT3D83tpSSyMkyZAdm5WcACsgTkQZtQI/sl9kQCPJbi3TRBAdza9gR7x/FH25fJXcMmKvYxRM2FgMvCTp/AOik8wAdHaBjstIWXfwT2LQapCBSoew0W2vjHWCmVfocKsQgcmqw2G2xenSK9s133rYGv2tLxTpA/jYdC1TnhjMJ1NoCFI5TUrFl1wnZBNBZ9aNLrBHILmhVb/ZWtgWFvqSgjQRh+v0/8LvAPH8MhwJIkJXaHtiI04s1u4cMOjjtp7yv+lFuuVIvFJr/mNfzHaE/TKlCiSPanSh14smVvjMPiWPjmCKKSvm9DapJhpckiJ6UhaYKDdDV68e72TnwZRLQnI930G9kBQzxT1+AajUI6puM7NJ1r5ai0Bxrg32AlNrP9Y7TjS07CyEaUYTKTelbLOWDVW/YGVCZk3LleaN1byALlXu0hcjhJJALzRZLWkBYajl6quPLFkAViCdRp+PLAIKh7TD9kNZabw0NOHUMqaAPcFofN1jsLl32AePE0ysN35C4wTf026BKX719TbG00N4urhB9e8MO9l2DnXI38SX5XkNnXcmj40uk8YcYTh3T5Tvo/ED5vhs06Xch/S5p+iO4JMjKbSc0EcdXr2Dn+MH7v7H60VCDi/kdmoNGHPWXBQNnFRJCHEs/oui6GUUvX/uF/wwb5VhCXw6rpF4cU3XtkC42a+QfMWg11ogHAt9ty/NXW3onwIgpGAIYJDLdrLKrHy4B6pb9qpTcC1Kp3TZnNqwl40ZWQ6ibAbuxJWvFfmx177ISl1LIWMZ28LBDfzho6c4ttzKBLiWZGOaoo3YCz2gB6CRBR8bk3V9GFkLdyEKIgfkOiNxnEk8RQMK9Niy2/LPfx9+QiCW0l+F1oV5UjG/oy1MqAmB720YMwfccWsTzDvz8RB/e/OR+EB49wdkVi5xd8XUDujQCjG3b2P/7fxGc+0b88ehGBhxZzphKuWDyzBrbfKSmmJFoBo1MZlNPqdia5ffuRMb59/kQKEARbBZbt35R7n4+7ddvychw1RVJmLs+nEntCM78WSySUotrLx4Y1+FkI/68EDcLIT0Jm4Hk4wrrJ1fzVNos0DmyGagvA2Y2MpotJ/HN3Lc/xpm3pkyQ7ZNRwbZo7UW0q/kaS69jRfJ77cqgGQmeAGAx3R20Xd1JI4c1RX8aIimwlDH/TNdEURVfgZ3We1LIJuFfuza4gCG4DrnC8rWZ32ENOgRmq2Z9NrzbDaDW31qNc0ki9L8dUyOd1pR2VgOTN07+0Ht0i+p3ho5+gBjFQRwFFfjzVILs/TDr9ha4fgHed/eKIRueiue0vBEDODtLRejX74EpQxPeEcikfopSJVWHrjy5iL9pHWanUaD57Z4Hdmmc6IaUi2iZjZlGseUkPsL79seo89aQCXjEccL/JDRsmagASICSKc3BuctQIidhGtmGAbBpETrmPNrh4G2wWEJa2GtHaVvS7wf4hpCBUB8zA8HNoLmAYXu7e2c+MIXrfx8oaqMCshwTZtHl5ZKhb7eZLI8tfFAk/dPbwgnuY+z3q0TffEOrL2JSpuRmf/ma7DDvhOfkJsuKD0bQxaCg9xlYGdZVp78rUkCtu9Mr2wGsIgaMxBBHlzUQhLWI+q1FntmyeSEZxiBwdzSIKbgph7S73nOd7YoRHB3/3PElSwhI0uojxJh5tAbAdhcq2JnEZLFHKBaII2VhUFILB8deLSLDAXSSv6ERlYy7XZF+1xHTY73Z+wu+8T3nVIweILb/918B4LeJfnpDubbq8YvXZA0WVaTD45aFgbFz7IMYnAw/V2pSASWc6gRSk0aeCkOAT25PDzki3z8CH7Jjl30BakBwy2YARmocMyz7sw28siVv4zhT30alGNnkAx8cYSHypiOWVlv/JiORwAo6AZozhFoUG+iaWS1mPmVkEgTFOW+TewB2HoUBeb0k7uTFumSx7PdP319SYeU3pH6PFLMlTjEb3xqm30EgHYb0xn/nuC14LxeY0ed+kelxe+/keZkXWiRVva0QMqq/FCPxvkcOkHX+TxAgwyEkhi77keb1fV3Zi9BOEAEwG83MSVfc3+MA+Oo9waj5J3oyziloiMzbsMt+AHUb3LpbxNDbb5nJsJMkLubrV35r3u+VLTsM2mFannu72z3hwB+Te5nREuQsa+JAb/MdXyJf1USd29SuQ1FpppEu1YNvP+zITAK9ziyXtI4y0W48dfzrztkB5vvcsFiu4Fp58l7UFAUFDvqNKH4vjrSYFnz7d3xD/xgaXLMzoXGgDFK8Vo9oPSh8/3skZxh4ArLyI0AJ6+F5HdpS22QAA07PCYfDemi5O3Vq0vPS2p4MctWaehD9ibeDT6x3cX0/T0Czvt8IWhBdIa3LTE+LbRQoDG0zLs6NdK97BVgjaGQk3fcHvsBSiSq0Q/lDMxiF1Kcwp6ahzNZSBWa1xyCACqQ3iYOBdpVUZr6wOEFp8vJmp7y213+e27K6YxSXlJzr5ZOYY8P8MYl3cBtGpgGTAL6KFPcRVVDqGkfQxRqd7+S2IrCkAnSs+bCBL/5MqyqqsXoKFbjFH76Dluiis0ZerEAZ7uASWgbXYJrEVeE91dqlvrHEHrTLNDRc/obeO5Ym+nYPfl+vL9DX3xpVZm5qcFwMd+K3egKyMgDjj0Lbw3/9MsMmHPAZZhWzP91patcMsJ1HjaAF/mrpm6xcMwM999xns2ODgC8nj/zzw8YIRlntjDxXTui3m6h2AGWW3RYRFb2ypLaZ7ZinZcld34B3eGnLTlnrvbNYwwrDFqJhc9HJ7/1S2vpWZ0lGiuT+9ww6gE0L6phltwexOKdmaVsWWeBHfxaAPKAn0BOzliwqPjfAD50xS/hH6w89TRjlsTw32qdq4Y+58s9S03wu58ztvzuxg/UeqfGiAGLhkbFYHoMnIOvWgL/k+w2gjnL62EjDHAZ8bhp1AlAchNGxx4vEI6BPJeQQP9xJV71jk+fMRuJ0zml1I57oNk3+cOO7O7YwD4CBLXpZbGdRRPmsVk1pkdiiwKFIANrHd0wgj0WeabC4JP4FgK0X4yOlsMHvAHt8hx8QkBrH8CM8OwPZEYx2349MAvjcABS/r9bckLprnpZ1rw/tdmJPriCLJK9w6BBOCHvgQ7sn4Q8nY7a7h48pXIvExPlqpQ06/Y865Of5nAL4UoMvxXlqWUORCk3Lod1ObAC/a4vJKxza3aB3fGj3FJ2H66T/Mybr1EpTcN84wDcKQEkpguUemo6qK5mjC0mEDx2ahmscf4zTfy5bjSS/w6HdTSryod1+e4DtMNoyDseeIl+6GT/8joow+P1D2S4N201zD3Lv/wFE4ZFeoqA8YgAAAABJRU5ErkJggg=="></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">E7 Example</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Q</strong></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Expand the followings in ascending power of x up to and including the term x<sup>3</sup>.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">State the range of values of x for which the expansion is valid.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>A</strong></span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALIAAAA4CAMAAABuf1LkAAAAAXNSR0IArs4c6QAAAJBQTFRFAAAAAAAAAAA6AABmADpmADqQAGaQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOmaQOma2OpDbZgAAZjoAZjo6ZjpmZpDbZrbbZrb/kDoAkDo6kGY6kJA6kJDbkNvbkNv/tmYAtmY6tmaQtpA6ttvbttv/tv//25A625Bm27Zm2////7Zm/9uQ/9u2/9vb//+2///bgfiYIwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADNUlEQVRoQ+1acV/bIBCFVrd0rmqrq1k2l2zauCYxfP9vN0gEjgQKZ9J2/Zn8oVU5eDze3T3yk5DpmRgwGPj7ZXtejJR3V/Mzg/y6K84NMiET5GPkxcTyMVjOZ7+Oscx4axSUP+dXM8YjYJrpvBlgsVCw0HD7ndLh+5msynAOfTN8YKuS0YstYbGvVaSffRyG/H2Uvv+yKaNb9t3X2wp6WMi4vGTxp+xBUVQubejr+x8HhZzPn0MOSY1J6Q0YXy40fvXr7CEfBbLDqhQ+WXb30wmwxBc3ZAwtu6wKlyaKY1KvqclrerkzZ6jvtxxygZw3HEVvQV9o9hibh16vOuDytvlZBOObO+jvZYScOb8l6Xybwyj+c2+tMYTh2IBtuT17zWffCCkj8VU/Fm1Va3ooXdSrETKbxV01ew+4Sq47CSBDLO4qXz6BCYtRyEjRRWexaUFUiaasSiIHf9UalFVY+GC4lyZjQIFMNTm+SqjqkiybbRzEEwIynMUqc2D4G55y4evLciCuUEoA5fJJCZPF3Lq4H13865VUIQyXkcGQkRkBjlZFOvqcLDxMFVYNmcPsLYyAjMk/mK1yTcemtbtSWyqh4N8PGeirc7ZvXaVpLbLqwXXk54JusoiatZOTqN2VSpeDQ7apE5ZxCTmlF4+E/emkMXBXKsiwtUNYxlQ5K+RmAkOn/PUpcFcAMuhRELLlQOW92fze0Oi/pLiapWK5gWwKzHBX47Pseptl07KbZbONGu5KBZ1Ey/b0E8fdrxvKXZ02/SCXZdSWx0ZarNf4tbtSRc7QuwxXujtQXSZyeZZcicT4Kmwhy/ina+eNTrcSrXcYju5+hr789gTZLMWE4La214P1WXYYL6wfxNooLnJt5XKMB3MaL/Q7+0KaT/+RNBYVmk/MZdVtvJBXGw7iNXNZfMsmXgyLj7xQ2I3XO7QZxq59FO4tht144eYYgraJxTFkNV7IkxoMWRXJoJmsxuvIJIu+g7hjmy6mbUSoCYKI8Q7qvezZE2EzXujXTV5E/gHVnbAkQU8X8uWOZZg7VNAiIYPY79D/99DpJ3Ypfqp+hqxwwjEe43VCZPalEcbrv8MeDOgf2DNRgoS6tRMAAAAASUVORK5CYII="></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">E7 Example</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Q</strong></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Find the value of&nbsp;4.016<sup>7</sup> with estimation, by substituting 0.004 using the binomial expansion.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Correct the answer to the nearest 2 decimal place.</span></p>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>A</strong></span></p>
<figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADkAAAAYCAMAAAB3NqUkAAAAAXNSR0IArs4c6QAAAHhQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOjoAOjo6OjpmOmaQOma2OpDbZgAAZjoAZpDbZrbbZrb/kDoAkDo6kDpmkGY6kNvbkNv/tmYAtmY6tpA6ttvbttv/tv//25A627Zm27aQ2////7Zm/9uQ/9u2//+2///bOmT3awAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABH0lEQVQ4T+2S3VqDMAyGG5hj6qzrqmiZDrXQ3P8drmn6xx482LHmAFqaN1/yUSH+Y9UB1OCjeb/dHnw9C2G3t4OBwJcsifruJ1f56gD2cTv3pfrcd3FjS/YI1bpR4ptz5h4gkTg0KpZDfUwytn3OpJOUa8AfTg8fvKMG9cbPx1EknVSlW0uMsPAUkjI5FjcrSbOt5jQhZYojJTJXWEja9rxCcvuJsKCGDpoDfTPcDh0e/RR5TtZ0ckka2LwJPIVJchjvAZEjf/2FXNSLRtFlChHJ8L6ek+uhbrPBUbnqdlz1NpHVhWG0Ilkt/YTiENlSO5w1qQ0n6WlA+Wb3fDJ1rILat4usXIeTAB5iEk/Jfux3NP/9gdDBrx4/r8C/sL0Av4cX2Xx6h2QAAAAASUVORK5CYII="></figure>
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"></figure>
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"></figure>
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"></figure>
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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">(correct to nearest 2 decimal places)</span></p>