化简(x-y)²(x²+xy+y²)²-(x³+y³)(-x³+y³).

来源：学生作业帮助网编辑：作业帮时间：2024/05/14 18:38:12

化简(x-y)²(x²+xy+y²)²-(x³+y³)(-x³+y³).
化简(x-y)²(x²+xy+y²)²-(x³+y³)(-x³+y³).

化简(x-y)²(x²+xy+y²)²-(x³+y³)(-x³+y³).
(x-y)²(x²+xy+y²)²-(x³+y³)(-x³+y³)
=[(x-y)(x²+xy+y²)]²+(x³+y³)(x³-y³)
=(x³-y³)²+(x³+y³)(x³-y³)
=(x³-y³)(x³-y³-x³-y³)
=(x³-y³)(-2y³)
=-2y³(x³-y³)