大同玉石产地分布范围:高分悬赏 因式分解,帮忙一下

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(1-xy)(1-xy)+(x+y-2)(x+y-2xy)
数学强悍的人帮忙一下。速度哦

解:(1-xy)^2 +(x+y-2xy)(x+y-2)
=(1-xy)^2+(x+y)^2-2(1+xy)(x+y)+4xy

=(1+xy)^2-2(1+xy)(x+y)+(x+y)^2

=(1+xy-x-y)^2

=[(x-1)(y-1)]^2

=(x-1)^2(y-1)^2