x^3+ax^2+ax+a-1因式分解谢谢了
问题描述：
x^3+ax^2+ax+a-1因式分解谢谢了
答
x^3+ax^2+ax+a-1
=a(x^2+x+1)+(x^3-1)
=a(x^2+x+1)+(x-1)(x^2+x+1)
=(x+a-1)(x^2+x+1)