Factor
25n^{3}\left(5n^{3}+10n^{2}+1\right)
Evaluate
125n^{6}+250n^{5}+25n^{3}
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25\left(5n^{6}+10n^{5}+n^{3}\right)
Factor out 25.
n^{3}\left(5n^{3}+10n^{2}+1\right)
Consider 5n^{6}+10n^{5}+n^{3}. Factor out n^{3}.
25n^{3}\left(5n^{3}+10n^{2}+1\right)
Rewrite the complete factored expression. Polynomial 5n^{3}+10n^{2}+1 is not factored since it does not have any rational roots.
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