x³(x-2y)+y³(2x-y) 因式分解.

问题描述:

x³(x-2y)+y³(2x-y) 因式分解.

原式=(x+y)(x-y)³

(将括号打开,两个四方配,另两项配)详细过程、、、原式=x4次方-y4次方-2x³y+2xy³=(x²-y²)(x²+y²)-2xy (x²-y²)=(x²-y²)(x²+y²-2xy)=(x-y)(x+y)(x-y)²=(x-y)³(x+y)