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\frac{n^{2}+4n^{4}}{4}
Factor out \frac{1}{4}.
n^{2}\left(1+4n^{2}\right)
Consider n^{2}+4n^{4}. Factor out n^{2}.
\frac{n^{2}\left(1+4n^{2}\right)}{4}
Rewrite the complete factored expression. Polynomial 1+4n^{2} is not factored since it does not have any rational roots.