(x²+y²)²-4x²y² 公式法 因式分解

问题描述:

(x²+y²)²-4x²y² 公式法 因式分解

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

=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)(x+y)(x-y)(x-y)

(x²+y²)²-4x²y² =(x²+y²)²-(2xy)²=(x²+y²+2xy)(x²+y²-2xy)=(x+y)²(x-y)² 【希望可以帮到你!祝学习快乐!】

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