s^3+3s^2+3s+1的因式分解

问题描述:

s^3+3s^2+3s+1的因式分解

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