Factor
\left(m+2n\right)\left(5m^{2}-3\right)
Evaluate
\left(m+2n\right)\left(5m^{2}-3\right)
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5m^{2}\left(m+2n\right)-3\left(m+2n\right)
Do the grouping 10m^{2}n+5m^{3}-6n-3m=\left(10m^{2}n+5m^{3}\right)+\left(-6n-3m\right), and factor out 5m^{2} in the first and -3 in the second group.
\left(m+2n\right)\left(5m^{2}-3\right)
Factor out common term m+2n by using distributive property. Polynomial 5m^{2}-3 is not factored since it does not have any rational roots.
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