#### Answer

$\color{blue}{(p^2-2)(q^2+5)}$

#### Work Step by Step

Using the commutative property of addition, the given polynomial is equivalent to:
$=p^2q^2-2q^2+5p^2-10$
Regroup by grouping the first two terms together and the last two terms together to obtain:
$=(p^2q^2-2q^2)+(5p^2-10)$
Factor out $q^2$ in the first and $-5$ in the second group to obtain:
$=q^2(p^2-2)+5(p^2-2)$
Factor out $p^2-2$ to obtain:
$=\color{blue}{(p^2-2)(q^2+5)}$