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n\left(m^{2}-n\right)+3p\left(m^{2}-n\right)
Do the grouping m^{2}n-n^{2}+3m^{2}p-3np=\left(m^{2}n-n^{2}\right)+\left(3m^{2}p-3np\right), and factor out n in the first and 3p in the second group.
\left(m^{2}-n\right)\left(n+3p\right)
Factor out common term m^{2}-n by using distributive property.