Factor
6u^{2}\left(9u^{5}+7u^{3}+13\right)
Evaluate
54u^{7}+42u^{5}+78u^{2}
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6\left(13u^{2}+9u^{7}+7u^{5}\right)
Factor out 6.
u^{2}\left(13+9u^{5}+7u^{3}\right)
Consider 13u^{2}+9u^{7}+7u^{5}. Factor out u^{2}.
6u^{2}\left(13+9u^{5}+7u^{3}\right)
Rewrite the complete factored expression. Polynomial 13+9u^{5}+7u^{3} is not factored since it does not have any rational roots.
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