初二因式分解(x-y)²+4(x-y+1)最后是什么?

问题描述:

初二因式分解(x-y)²+4(x-y+1)最后是什么?

(x-y+2)的平方

答:
(x-y)²+4(x-y+1)
=(x-y)²+4(x-y)+4
=(x-y)²+2*2(x-y)+2²
=(x-y+2)²