化简(x-y)²(x²+xy+y²)²-(x³+y³)(-x³_数学解答

化简(x-y)²(x²+xy+y²)²-(x³+y³)(-x³+y³).

人气：266 ℃　时间：2020-01-30 16:48:28

解答

(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)