(a-2b)(a^2-2ab+4b^2)-a(a-5b)(a+3b)

问题描述:

(a-2b)(a^2-2ab+4b^2)-a(a-5b)(a+3b)
先化简再求值a=-1b=1
(看清楚题目)
答案是 2a^2b+15ab^2-8b^3
化简后=-21
我要过程

解: (a-2b)(a²+2ab+4b²)-a(a-5b)(a+3b)
=a³-(2b)³-a(a²+3ab-5ab-15b²)
=a³-8b³-a³+2a²b+15ab²
=2a²b+15ab²-8b³
因为a=-1, b=1
则原式=2×(-1)²×1+15×(-1)×1²-8×1³
=2-15-8
=-21