分解因式:a3+a2-a-1=_.

问题描述:

分解因式:a3+a2-a-1=______.

a3+a2-a-1
=(a3+a2)-(a+1)
=a2(a+1)-(a+1)
=(a+1)(a2-1)
=(a+1)(a+1)(a-1)
=(a-1)(a+1)2
故答案为:(a-1)(a+1)2