因式分解:(x+y-2xy)(x+y-2)+(xy-1)^2

分类: 作业答案 • 2021-12-16 19:58:59

问题描述：

答

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