提公因式法因式分解:3(y-x)²+2(x-y)

问题描述:

提公因式法因式分解:3(y-x)²+2(x-y)

3(y-x)²+2(x-y)
=(3x-3y+2)(x-y)

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

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