x³(x-2y)+y³(2x-y)
问题描述:
x³(x-2y)+y³(2x-y)
答
原式=x^4-2x³y+2xy²-y^4
=(x^4-y^4)-(2x³y-2xy³)
=(x²+y²)(x²-y²)-2xy(x²-y²)
=(x²-y²)(x²-2xy+y²)
=(x+y)(x-y)³