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