因式分解:(2x+y)^2-(x+2y)^2 (^2代表平方)

2024-12-27 20:38:42
推荐回答(2个)
回答1:

(2x+y)^2-(x+2y)^2 平方差公式
=(2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
=3(x+y)(x-y)

回答2:

原式=(2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
=3(x+y)(x-y)