diff --git a/education/mathematics/binomial-theorem.html b/education/mathematics/binomial-theorem.html
index 27357b4..7f7d680 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: 2026-02-11T17:29:21.356Z
+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
Hence, the constant term is -2,857,026,816.
+
Q
+Let n be a positive integer that in the expansion of
+. The coefficient of the third term is 1,029.
+Find the value of n and the coefficient of x12.
++
A
+The 3rd term is 3 - 1 = 2,
+Hence, the general term is
+Set 21 - 3r = 12, r = 3
+The coefficient of x12 is 12,005.
+