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
+
| 0 | +1 | ++ | + | + | + | + | + |
| 1 | +1 | +1 | ++ | + | + | + | + |
| 2 | +1 | +2 | +1 | ++ | + | + | + |
| 3 | +1 | +3 | +3 | +1 | ++ | + | + |
| 4 | +1 | +4 | +6 | +4 | +1 | ++ | + |
| 5 | +1 | +5 | +10 | +10 | +5 | +1 | ++ |
| 6 | +1 | +6 | +15 | +20 | +15 | +6 | +1 | +
Two adjacent cells sum will be the new value of the next row.
+For example, in row of 4, the 2nd value is 1+4=5. 3rd value is 4+6=10.
++
Q
+In the expansion
+, find (1) The coefficient of x3. (2) The constant term.
++
A
+The general term will be:
++
(1)
+Set
+Hence, coefficient of x3 is 816,293,376.
++
(2)
+Set
+Hence, the constant term is -2,857,026,816.
+