(2a+3b)^2-(3a-2b)^2

问题描述:

(2a+3b)^2-(3a-2b)^2
因式分解
ps:x(a-b)-9(b-a)

平方差公式
=[(2a+3b)+(3a-2b)][(2a+3b)-(3a-2b)]
=(2a+3b+3a-2b)(2a+3b-3a+2b)
=(5a+b)(5b-a)
x(a-b)-9(b-a)
=x(a-b)+9(a-b)
=(a-b)(x+9)