Factor
4n^{2}\left(n+1\right)^{3}
Evaluate
4n^{2}\left(n+1\right)^{3}
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4\left(n^{5}+3n^{4}+3n^{3}+n^{2}\right)
Factor out 4.
n^{2}\left(n^{3}+3n^{2}+3n+1\right)
Consider n^{5}+3n^{4}+3n^{3}+n^{2}. Factor out n^{2}.
\left(n+1\right)^{3}
Consider n^{3}+3n^{2}+3n+1. Use the binomial cube formula, a^{3}+3a^{2}b+3ab^{2}+b^{3}=\left(a+b\right)^{3}, where a=n and b=1.
4n^{2}\left(n+1\right)^{3}
Rewrite the complete factored expression.
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