s^3+3s^2+3s+1的因式分解

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s^3+3s^2+3s+1的因式分解
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s^3+3s^2+3s+1的因式分解
s^3+3s^2+3s+1的因式分解

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

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

和的立方公式啦,s^3+3s^2+3s+1=(s+1)³,具体步骤是:
s^3+3s^2+3s+1=(s^3+s^2)+ (2s²+3s+1)=s²(s+1)+(s+1)(2s+1)
=(s+1)(s²+2s+1)=(s+1)³