(a-2b)(3a+b)²+(a+3b)²(2b-a)

问题描述:

(a-2b)(3a+b)²+(a+3b)²(2b-a)

(a-2b)(3a+b)²+(a+3b)²(2b-a)

=(a-2b)((3a+b)²-(a+3b)²)

=(a-2b)((9a²+6ab+b²)-(a²+6ab+9b²))

=(a-2b)(9a²+6ab+b²-a²-6ab-9b²)

=(a-2b)(8a²-8b²)

=8(a-2b)(a-b)(a+b)