x乘以(x-y)²减去2乘以(y-x)³用提取公因式法分解因式求解

问题描述:

x乘以(x-y)²减去2乘以(y-x)³用提取公因式法分解因式求解

原式
=x(x-y)²-2(y-x)³
=x(x-y)²+2(x-y)³
=(x-y)²×[x+2(x-y)]
=(x-y)²(3x-2y)
=(x+y)(x-y)(3x-2y)