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

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
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

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）

x(x-y)²-2(y-x)³
= x(y-x)²-2(y-x)³
= (y-x)² [x -2(y-x)]
=(y-x)² (3x-2y)

x(x-y)^2-2(y-x)^3
=(x-y)^2 [x-2(y-x)]
=(x+y)(x-y)[x-2y+2x]
=(x+y)(x-y)(3x-2y)