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n\left(p+2\right)+8\left(p+2\right)
Do the grouping np+2n+8p+16=\left(np+2n\right)+\left(8p+16\right), and factor out n in the first and 8 in the second group.
\left(p+2\right)\left(n+8\right)
Factor out common term p+2 by using distributive property.