学帮网因式分解 (x²+y²）²-4x²y²
来源：学生作业学帮网 编辑：学帮网 时间：2024/05/28 18:41:12
因式分解 (x²+y²）²-4x²y²
(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²
(x²+y²）²-4x²y²
=﹙x²＋y²－2xy﹚²
=﹙x－y﹚^4
(x²+y²）²-4x²y²
=(x²+y²）²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²
（x-y)^2(x+y)^2