求化简并求值以下的因式(初三)
问题描述:
求化简并求值以下的因式(初三)
(x-y)²(x²+xy+y²)²-(x³+y³)(-x³+y³),其中x=1,y=-1
答
(x-y)²(x²+xy+y²)²-(x³+y³)(-x³+y³)=[(x-y)(x²+xy+y²)]²-[(y³)²-(x³)²]=(x³-y³)²-y^6+x^6=x^6+y^6-2x...