From 31a88d0d09e9159a9aea3230d87498fb7bc383a5 Mon Sep 17 00:00:00 2001 From: phidias Date: Wed, 11 Feb 2026 17:29:22 +0000 Subject: [PATCH] docs: update education/mathematics/binomial-theorem --- education/mathematics/binomial-theorem.html | 110 +++++++++++++++++++- 1 file changed, 109 insertions(+), 1 deletion(-) diff --git a/education/mathematics/binomial-theorem.html b/education/mathematics/binomial-theorem.html index ce9a17d..27357b4 100644 --- a/education/mathematics/binomial-theorem.html +++ b/education/mathematics/binomial-theorem.html @@ -2,7 +2,7 @@ title: 二項式定理 (Binomial Theorem) description: published: true -date: 2026-02-11T17:27:20.535Z +date: 2026-02-11T17:29:21.356Z tags: editor: ckeditor dateCreated: 2026-02-11T17:24:46.603Z @@ -76,4 +76,112 @@ dateCreated: 2026-02-11T17:24:46.603Z

 

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Pascal Triangle

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+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
01      
111     
2121    
31331   
414641  
515101051 
61615201561
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Two adjacent cells sum will be the new value of the next row.

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For example, in row of 4, the 2nd value is 1+4=5. 3rd value is 4+6=10.

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E4 Example

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Q

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In the expansion 

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, find (1) The coefficient of x3. (2) The constant term.

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A

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The general term will be:

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(1)

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Set 

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Hence, coefficient of x3 is 816,293,376.

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(2) 

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Set 

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Hence, the constant term is -2,857,026,816.

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