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3\left(m^{3}+5\right)-a\left(m^{3}+5\right)
Do the grouping 3m^{3}+15-am^{3}-5a=\left(3m^{3}+15\right)+\left(-am^{3}-5a\right), and factor out 3 in the first and -a in the second group.
\left(m^{3}+5\right)\left(3-a\right)
Factor out common term m^{3}+5 by using distributive property. Polynomial m^{3}+5 is not factored since it does not have any rational roots.