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
答
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)
答
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)
答
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)