Answer
$\color{blue}{(p-2q+10)(p-2q-10))}$
Work Step by Step
Note that $100=10^2$.
Thus, the given binomial is equivalent to:
$=(p-2q)^2-10^2$
Factor the binomial using the formula $a^2-b^2=(a+b)(a-b)$ where $a=p-2q$ and $y=10$ to obtain:
$=[(p-2q)+10[(p-2q)-10]
\\=\color{blue}{(p-2q+10)(p-2q-10))}$
