(x-2)的3次方-3(x+2)(2-x)因式分解

问题描述:

(x-2)的3次方-3(x+2)(2-x)因式分解

(x-2)的3次方-3(x+2)(2-x)
=(x-2)³+3(x+2)(x-2)
=(x-2)[(x-2)²+3(x+2)]
=(x-2)(x²-4x+4+3x+6)
=(x-2)(x²-x+10)