x3-x2-x-2怎么因式分解

问题描述:

x3-x2-x-2怎么因式分解

X^3-X^2-X-2
=(X^3-1)-(X^2+X+1)
=(X-1)(X^2+X+1)-(X^2+X+1)
=(X^2+X+1)(X-1-1)
=(X^2+X+1)(X-2)