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CIE 9709 2025 June Paper 15 Q2

A Level / CIE / P1

CIE 9709 2025 June Paper 15 Paper · Question 2

题目

Problem

In the expansion of (3+ax)5+(6x)4(3+ax)^5+(6-x)^4, the coefficient of x2x^2 is six times the coefficient of xx.

Find the possible values of the constant aa.

[5]
题目中文翻译

(3+ax)5+(6x)4(3+ax)^5+(6-x)^4 的展开式中,x2x^2 的系数是 xx 的系数的六倍。

求常数 aa 的可能值。

解答