(x²+y²)²-4x²y² 因式分解
问题描述:
(x²+y²)²-4x²y² 因式分解
答
原式=x^4+2x^2*y^2+y^4-4x^2*y^2
=x^4-2x^2*y^2+y^4
=(x^2-y^2)^2=(x+y)^2*(x-y)^2
答
(x²+y²)²-4x²y²=(x²+2xy+y²)(x²-2xy+y²)=(x+y)²(x-y)².