Answer
$\color{blue}{(4q+5)(4q-5)}$
Work Step by Step
Note that $16q^2=(4q)^2$ and $25=5^2$.
Thus, the given binomial is equivalent to:
$=(4q)^2-5^2$
Factor using the formula $a^2-b^2=(a+b)(a-b)$ where $a=4q$ and $b=5$ to obtain:
$=\color{blue}{(4q+5)(4q-5)}$
