分解因式:(1) (x-y)³-(x-y) (2)x³y³-2x²y²+xy (3)a³c-4a²bc+4ab²c (4)(x²+y²)

问题描述:

分解因式:(1) (x-y)³-(x-y) (2)x³y³-2x²y²+xy (3)a³c-4a²bc+4ab²c (4)(x²+y²)²-4x²y²

(1) (x-y)³-(x-y) =(x-y)[(x-y)²-1]=(x-y)(x-y+1)(x-y-1)(2)x³y³-2x²y²+xy =xy(x²y²-2xy+1)=xy(xy-1)²(3)a³c-4a²bc+4ab²c =ac(a²-4ab+4b&...