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化简(x-y)²(x²+xy+y²)²-(x³+y³)(-x

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/27 03:57:05
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)