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\frac{x^{3}+3x^{2}+3x+1}{3}
Factor out \frac{1}{3}.
\left(x+1\right)^{3}
Consider x^{3}+3x^{2}+3x+1. Use the binomial cube formula, a^{3}+3a^{2}b+3ab^{2}+b^{3}=\left(a+b\right)^{3}, where a=x and b=1.
\frac{\left(x+1\right)^{3}}{3}
Rewrite the complete factored expression.