x²+y²-2xy+2x-2y+1 用分组分解法因式分解

问题描述:

x²+y²-2xy+2x-2y+1 用分组分解法因式分解

x²+y²-2xy+2x-2y+1
=(x²-2xy+y²)+2(x-y)+1
=(x-y)²+2(x-y)+1
=(x-y+1)²