docs: update education/mathematics/binomial-theorem

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phidias committed 2026-02-11 17:30:42 +00:00
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title: 二項式定理 (Binomial Theorem)
description:
published: true
date: 2026-02-11T17:29:21.356Z
date: 2026-02-11T17:30:42.340Z
tags:
editor: ckeditor
dateCreated: 2026-02-11T17:24:46.603Z
@@ -184,4 +184,28 @@ dateCreated: 2026-02-11T17:24:46.603Z
<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,iVBORw0KGgoAAAANSUhEUgAAASAAAAAcCAYAAADBTGLiAAAAAXNSR0IArs4c6QAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAA7oSURBVHhe7V2/cxpJFn5NbW7npAyBllSuEjheDEp0CQEJmxgcHbNVq2hVyGA20lYZObLY4EyCa5WcAwNWfBZXtVx2WlUtcKHy5Q/w9H3dzQzDMAMzCCTkYgK7gP7x+k1/X7/3+nXrm3K5TNtnq4GtBrYauA8NfHMfnW773Gpgq4GtBoQGtgS0nQdbDWw1cG8a8CSg7O4jflI9p53GJY2aFbZIwhLKJ6rXlDk6pFGvubD8ova2v281sCka2GJhfW/ClYB2by64dhGjNsin54N8hHiV3ohdNg54QdPoKt/myXBvS0Lre2/blu9IA1ssrFfRMwS0e3PM0/U8tfkZ9SrK8imVsvy0kCO93iVwC51pp1TI6VTvxvH5ksI9Va7S7LEz3uYFlqaL2oAnR3djCakVSsgzVlYc8l9O5F+vCt1bL2V3+elJVepMPvcs06bJcx/vJGifDxILTx4bJ6+KzImFNFGoXKnwoDrwUx5zy8BcZ+dXRLGjd1RPab77miKg0u4NZ8cEUpkG7/D0hOjwktrEqPqhQIWdA3zkdFBglP7QoXJ4ImalAhJq5zlL5ygzuOSL3DcTGOeUocZZkZpj0vMzcIscExqhMyonm0y0V9DSlC4cWHJlH13w3HmMjhqHsOjWT4qSsCHTtZCp7C6T2/iW1cWi8S0rj9938DWW2wQsREAalQCkgfdsnCaijDJ9oq4W4oNPXwrRFBNYoDooaA073tndGyORu2FH8JYuI0reck/NiOzjC+P732Lsp3eHlNIirmOxCMicpBSv0WGKqDluRDTUHIVZKTLkp2C4buyAkqMei5DGW/gczwD8I1thUSF1SLW4RnrulAaXJe5FKuIlJ7QLirUblETcCOUCz+VKBYSSLFN41FR1IxrtxCHXzkSu5igJ9xDElIN7GJt1D/1aeH6Fc8okLMODPPH6nAZuo4tF41tGHr9jXUW5ZYk3aN+LiNps7wFjIUTJl8DCe8U1kSzt7DFgIUJd4vBkhgY8GaY8GQOezJspTwYcFSqX/VtJpexj42n0gmX+/ExpkI/Twmr+lQx9buwaL76Psuq3H41uvTTT/sQCGrboHN5CvLbvYYUM6Bq/54/ATj1BOOJznDKNCILU01NBTPhsJs51/Zxaw6LrPJErTLouXTrThQs6oZzlxcTpwFo7j9WoUYxgHDbLTLiHl+7uYRALbxkZSyWQH5zUfNvU3XQrXrowv/fuc+IqS/fXY3yzepovzzJjXLaOX+I1SUGnGha1WUvZIjGAa+KJt2FVp6z5vIiorTF8HVgwgAV2HnsNLGgUAQyHb0xPJgRP5oXNkwlJT4YIVhL5zwvsnBSp+7xF/2KfKNohg3azpKUiZLfcMC9Dbz+3jBehfUa1P41jfZqELAIats7x4uJU258lFPliOh8IdEEWhuRnBKrRm8P+UYbIfobiuk7nrSElHbNTAfIYZDdYGfmI1Y0J/xFjiOcPXPHg5R76sfAsAJize6aH6biZ/edOoUpXGGtyHCuz/zZPF8M+TMx5D8ZpxulEMb/u7zx5liWSZeoFWYSGp4hBCt3DunUn1DTV820acEU4pSx2ZeGKa1eCsCZWuB+ifvBYgOsTYseMO7DQ/CscgidjwJNhwpPp6unQWXHwBZ4Mi2dsVtLTKNMRYnF/8tQyzijNOlQIMeL8Z3oKHoih8NVVnbrVGvU/F41SqWS5XJiXobet50Zo/3tW6382dA0kNHYtJQEpcAnw5inqQSgSDPEMwbGRhGN9Hnao/2iXj+CWTQkciUqh6uctajjcsOFpFeQ1h+yWmM1idSuXk2TGgDRErOyxKatJ0z08mY5dKYvO28Iz3Rh04fmADGZ+E7soVTqC2+oee1qkC0HSzrqKtKq0A195ZPeVRe+e41OiLZJnCdUvVSXIIqSIKkb5eBfzZvbpFEA+YnG0WTuV5og1anGuYRE86RTJFqacS9RfBRbg+ryUWHhiiBiQwIKIAalTD0O6/jeHJ/OM6nVBMp/weY8y7zTqwkrCPA/Rdy+p/J33a/3PqwqlS7sGSrB86zOaZqEkCOXs8BQuWZH90vm7+G7alsK8fB2Pkv4LLC0Zj1Ltjy0gBT44ixbBOLsfiAKxI8ucjURjFO/qpOVMk9hpB6lYDHWvAe3JY71gxJpgbJHDe1tqMtsriRXuEBOvft6n7Nls/GniHlbpkT1IHtDC8yOoBXaPlIRFuhCkmnTRkCQtLAYDF/15js9OPhuQIrGIeE39mkSVbw9opzpLP6Z7Sw5rUNRXVjhIy7FRIttesBB9HVj4PQQsGL/+1md/cm7AeAjRpwL9ymHFPGOk+Oef+ByjFubSrR/EX2PYqHKznQSxZTN7xg/Fn9nrfsqyghQBDfskjf1Y1HMXqhcus7LN2ar0wiwJRk3SSNSZkV0AYTcGWbpX1B/afx6TXd67L1FagDct9hJt29cTNwjW00AlSKoJCEbFBA0jkC1jATlYczaydAonyBM0TNdgRnNlDGzhLXhbctW+AElcCpegBysTcib62D20xy/86cLe1QSQl57vym18/uS59RT01cAi4rU3Iq0buFbwrAi8G+wZW+Hdq9nFyJOoNxALT24ujFS9i2iySi8RW+qchl/Ejpfe3aNa/5J0TXyHXa9QilGrDyND7YIBC4wDC1HGEAAu8+xj5clE4K8IojDnfeR/Haq1yNCPZwPFbkoXbtXBc27s//yG9VNFQ4PLNXyTAKk9p494V2eo5GSFiAbcMYU7aengufujGOMXbN+lcg4w++iGn+w2iB+2KKHpVD09pEvpJuaIGpzKIB6Qj6wm4h6H2PbPVTWRB8SPwT1xEQuQ5rhbdEoMfkeGEq7AjCYBBbfwvLFgkoQooTFd/CflkjuM9mo+dOHsRVk/sDodO5VT5Rzj8y2Px5BEfE2TARh/j5vbOF3TH/GqrXARW8Ng4Tq4P2NL24VkrIXVo6YbUfsb4YpK+Xj/2cc3BrDAJBaiAgs/Ei8ybLcLLMALwu7TSGx9CyyAmIAFI/cKW/FEBnwvCwuRMw6sVGj4B0BiI6TSkxjtwZOJwpPpY3EsSjfM3/hSZwN6jfzAaEjOcUMQZK3/lvYF2bmlD2jfKtwN8C6FcBB6ioDmkYI/kaZLadIHC/6IoDCsGZjJWZ6J66Rft6hTOKfrIyQ9umRmN4U1hq34pBWf6XmTj4c4QS28eaMSpBiGdTi7n+BuLfrVkAqsii1Ub+vHra3bymPG1/zKObMtOsOiyuKeN98mlh6XgfYUFiD3sZk7rjrlTqPUKCm3OyvywXJptSPmZdm7LERmHxuDBQSOx1gwMns/MP26bWGhDqvHuW3e/D0cmoeF38PlkPRkxjlBFVF+7Mm898s8YyXJeFE4iaYmgdHR+1cB9tHuwwLyPYtlQEy5cXUwP6wat12kAM09+KKdEx2AypOVCfHgR+Q9ANP1KrvsHIpawio7iaosfEGQg1qM53TsesnFOM4vbnapcVSjqzS+sOWEPVSVCbA/iXEDWGACC10EfoVL9VDHY8o9ZQF14Zwl7dsFtxyddGvc9k0DtJtCBh/VryjjtuMToJ2HXlRZP8KLQzZ3wGzxhzZ2MwtZ5KXAc5UgO5Y+rHiw8aHcWliCk5EJq1mt5OaDVb5/wcUMzHtt7c5RzCZi4dnf8gihAAs/pqgLl8q3r7TBE+DuY0Dm9rwPslOBWzXx7AHjW+tzcC1N82Um5q37tjcQQBem9dNGgmVvkY++4vGtPgY0X4tig8N5UZ5rIuIcRdgD3c7M/pW+w9s0FuD9l0rYUk+kkNsDLAzxrwjz+M8ZvI2Uq6s7+EPi7rmGnCMxEMxjRUBzdguW7X2STxFz5BbNCRo6OhMJczuNAdVwhEJ320pdUjiV4BffAMvcny6CWj+rHt/KY0ABgLfkKyYzcTHfnnO+0I2oNxQLnwqvxlhALs2HT1BLsKzlZfW4ynrDAXDHFe7MZ2wBuefs3K5z99wiP8c0RL/y3M4jnBHD4VEVB/pAu/yMa6cJMn3/ZeSziBH2+6KDssu0H6SOX10EsX42aXzeuvBHvK71HXllzjKlLI7jnORIk4eq5x/zcSfqDcQCMpuBBdbFgc5Onn8BFljbQF4Ptr0FFoKe4QoyR1dVVh6UffqS8fxH0qMifqXOnEkCsoAwk7Mz6T7wdQ7mFmNm9mxZpHhEeQQM9ZlsZEU8IpB4UwP5jLOHU4c1iiMQnWZXlMf3tzo71jlBSj/yiBouWcSr0naAdubpQjQzL9HOtZsNG5+bjH6J16yrdIA0C/lFHfMAaV9YjOyxMNNFYxcXlM8cWUcyvF6FF1FvFBZAPNEiMYGFrh6RoH2WPaX4r0VKhxQWHgL5yHeAefmDyFn6R4p0W5KQFQOaf3Yr+PUS887TmGeW6uk03bQ5txOKMvchsO2Eq0irtwKMzpOvAcBupf9vgPVjij1PF2pxMLf0PXKabOPfxPF5vZ5FxGuv55ZG4Dz2Yh2VERVxO4NnDpjZ8Byi3hgsyCMVCgvmTRqV5l+hJL6UwXbb9wFgcOdFMS9xGPUl23s+bf0IQSZB6Mg+yZwbl7NbQa9z8JPpKgKNHAmEiXQCy1kDJLTee3rkGbFEWtzWiJ2+zbqtcRW62OTxuVtB6t4ot0Vo3QhZSNRfORbWrV97++KyshdP99l/QT7detr7Og5BMqWjPNeRN+E8vOcUeNH1EsLckm7OYP4FYwJ4l4ND6bNXKcOXuZDMjzJFZjUuTcKFZDiucQcXkvmRyVnmNrp4CONzJaE7XoSEDH6IelOwYL/WYpk5dd91RBb3U1xW9tO7Pr0VF5KFZ+8amtqGFyBo4+KsdLow4Line truncated
<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>
<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 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,iVBORw0KGgoAAAANSUhEUgAAAJ8AAAAYCAMAAADTcN+yAAAAAXNSR0IArs4c6QAAAJlQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOgA6OgBmOjoAOjpmOmZmOmaQOma2OpC2OpDbZgAAZjoAZjo6ZjqQZpC2ZpDbZrbbZrb/kDoAkDo6kGY6kNvbkNv/tmYAtmY6tpA6tpBmttvbttv/tv//25A625Bm27Zm27aQ29u22////7Zm/9uQ/9u2/9vb//+2///bKRJn7QAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACiUlEQVRIS+1W2XLTMBSVkkJxKTTUoTSkAbuFqIU4if3/H4fupsWSnHaGB2aoHhJZPufq6G6yUq/j1QP/uQee3m+tBw4brd/A5HnjsLnaZZHmw49gvQgLMNOM/efLuZU1rG/VoX6nVIwuie0uVplXw913e9Dlwr3Kw8bMScZx14E+HI3VF9kvytNf4dXvTaX11U8762sNAy319TXzujEM1of1W/S8J6eMaF+nr69xV2+/JI8RRn/aqScN24X6VDezbvSGAhisGiTYP0dWY0a8r9PX8rnFfkmeMiTA4EYNPPDRiDGsIQ72fQKzi918Sfo8OWHk9bULXhf7JX0SIXqf6mNhGRgcZMXx9WR3lJgh27P/nDx38HJ4yT849hU8RP5TlHc9lFsMgxQPRRAZvBozWmglw5r9j3+d9Xd/Qz2D8xqmBvOehqT9vpKZOj5c3AKsrz9CqXDLIUAGZqO79fqE7LDCeFzZGTYD0IJ1RwlOlRVa9h4IfSH6Gq1nX4Az3EG2VxHf63MwcLPT51YTfZCQ5y0Wa3YEJ5/WZw3dy6HQ2WQz8Z/AoIGBPkM4T04YjV4U5T3ff2CiYVEYC3Jsqo9gGCsc4hshJ4zJHhL4L5d/UeJbp7lsFH2Z+vCwqEiFPGb0S3/q1I9BfeScLDtQC8OgBlNYworLwDCo1F+mGEq137iHZoPMjbWYANJ44Qr4hUVBtwHXx7g/exjpw1sQGURO+7O5Vs18y1mayDjVn6WzHR8utT7D+j1s3DS8rbC7BTD7BI0CBEar/kYEhpnZnrWv4Dc7Tt5vYYNMLfT1ghdP5Imjvozh0cUAq4kPp7/8fZVoCO2XBR7bwvfpY/R9WoQFll/GiNFlgf/Emz8JV1CW8jtoKwAAAABJRU5ErkJggg=="></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>
<p>&nbsp;</p>