Answer
$(x+8)(x+2)$
Work Step by Step
Using factoring techniques, then,
\begin{array}{l}
x^2+10x+16
\\=
x^2+8x+2x+16
\\=
(x^2+8x)+(2x+16)
\\=
x(x+8)+2(x+8)
\\=
(x+8)(x+2)
.\end{array}
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