a^5+a+1因式分解
问题描述:
a^5+a+1因式分解
答
a^5+a+1
=a^5-a^2+a^2+a+1
=a^2(a^3-1)+a^2+a+1
=a^2(a-1)(a^2+a+1)+a^2+a+1
=(a^3-a^2+1)(a^2+a+1)