(2xy+y)的平方-(2x-y)的平方等于多少?

问题描述:

(2xy+y)的平方-(2x-y)的平方等于多少?


(2xy+y)²-(2x-y)²
=[(2xy+y)-(2x-y)][(2xy+y)+(2x-y)]
=(2xy+y-2x+y)(2xy+y+2x-y)
=(2xy-2x+2y)(2xy+2x)
=4x(xy-x+y)(y+1)