因式分解(X2-1)(Y2-1)-4XY请高人相助

分类: 作业答案 • 2022-07-17 21:17:51

问题描述：

因式分解(X2-1)(Y2-1)-4XY
请高人相助

答

=x²y²-x²-y²+1-4xy
=(x²y²-2xy+1)-(x²+2xy+y²)
=(xy-1)²-(x+y)²
=(xy-1+x+y)(xy-1-x-y)