4x²y²-(x²+y²)²因式分解

问题描述:

4x²y²-(x²+y²)²因式分解

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