分解因式:(1-XY)^2+(X+Y-2)(X+Y-2XY)

分类: 作业答案 • 2022-01-09 18:05:09

问题描述：

答

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