Answer
$(n+2)(n+p)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
n^2+2n+np+2p
,$
\begin{array}{l}
(n^2+2n)+(np+2p)
\\\\=
n(n+2)+p(n+2)
\\\\=
(n+2)(n+p)
.\end{array}
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