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4\left(4m^{2}n^{10}+25m^{4}n^{10}\right)
Factor out 4.
m^{2}n^{10}\left(4+25m^{2}\right)
Consider 4m^{2}n^{10}+25m^{4}n^{10}. Factor out m^{2}n^{10}.
4m^{2}n^{10}\left(4+25m^{2}\right)
Rewrite the complete factored expression. Polynomial 4+25m^{2} is not factored since it does not have any rational roots.