Answer
$(x+8)(x+2)$
Work Step by Step
Using the factoring of trinomials in the form $x^2+bx+c,$ the $\text{
expression
}$
\begin{array}{l}\require{cancel}
x^2+10x+16
\end{array} has $c=
16
$ and $b=
10
.$
The two numbers with a product of $c$ and a sum of $b$ are $\left\{
8,2
\right\}.$ Using these two numbers, the $\text{
expression
}$ above is equivalent to
\begin{array}{l}\require{cancel}
(x+8)(x+2)
.\end{array}