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3\left(9n^{5}+25n^{3}\right)
Factor out 3.
n^{3}\left(9n^{2}+25\right)
Consider 9n^{5}+25n^{3}. Factor out n^{3}.
3n^{3}\left(9n^{2}+25\right)
Rewrite the complete factored expression. Polynomial 9n^{2}+25 is not factored since it does not have any rational roots.