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docs: update education/mathematics/binomial-theorem

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2026-02-11 17:34:47 +00:00
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education/mathematics/binomial-theorem.html
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title: 二項式定理 (Binomial Theorem)
description:
published: true
date: 2026-02-11T17:34:26.679Z
date: 2026-02-11T17:34:46.916Z
tags:
editor: ckeditor
dateCreated: 2026-02-11T17:24:46.603Z
@@ -247,7 +247,7 @@ dateCreated: 2026-02-11T17:24:46.603Z
<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>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">E8 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>