分解因式(xy-1)的平方+(x+y-2)(x+y-2xy)还可以提其它问题吗分解因式(xy-1)的平方+(x+y-2)(x+y-2xy)

分类: 作业答案 • 2021-12-19 17:22:53

问题描述：

分解因式(xy-1)的平方+(x+y-2)(x+y-2xy)
还可以提其它问题吗分解因式(xy-1)的平方+(x+y-2)(x+y-2xy)

答

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