因式分解:(x+y-2xy)(x+y-2)+(xy-1)^2
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:综合作业 时间:2024/07/17 13:00:37
因式分解:(x+y-2xy)(x+y-2)+(xy-1)^2
![因式分解:(x+y-2xy)(x+y-2)+(xy-1)^2](/uploads/image/z/16529436-36-6.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%3A%28x%2By-2xy%29%28x%2By-2%29%2B%28xy-1%29%5E2)
=[(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
=(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