初中因式分解：(x+y-2xy)(x+y-2)+(1-xy)^2
问题描述：
初中因式分解：(x+y-2xy)(x+y-2)+(1-xy)^2
步骤一定要详细!不然我看不懂~
答
(x+y-2xy)(x+y-2)+(1-xy)^2
=(x+y)^2-2(x+y)-2xy(x+y)+4xy+(1-xy)^2
=(x+y)^2-2(x+y)(1+xy)+(1+xy)^2
=(x+y-xy-1)^2