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2m\left(4n-p\right)-p\left(4n-p\right)
Do the grouping 8mn-2mp-4np+p^{2}=\left(8mn-2mp\right)+\left(-4np+p^{2}\right), and factor out 2m in the first and -p in the second group.
\left(4n-p\right)\left(2m-p\right)
Factor out common term 4n-p by using distributive property.