分解因式:(x+y-2xy)(x+y-2)+(xy-1)²

分解因式:(x+y-2xy)(x+y-2)+(xy-1)²??(xy - x - y + 1)^2=(x+1)^2*(y+1)^2???
2025-02-27 10:58:59
推荐回答(2个)
回答1:

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

凑一凑就出来了。

(xy - x - y + 1)^2=(x-1)^2*(y-1)^2
因为:xy - x - y + 1=(x-1)*(y-1)

回答2:

x2+y2-xz-2y-2x2y-2xy2-2xyz+x2y2+1