Answer
$-2p^{2}q^{4}(2p+q)$
Work Step by Step
The greatest common factor of $-4p^{3}q^{4}-2p^{2}q^{5}$ is $-2p^{2}q^{4}$.
We can use the distributive property to factor out the greatest common factor.
1. $-4p^{3}q^{4}-2p^{2}q^{5}$
2. $-2p^{2}q^{4}\times 2p+(-2p^{2}q^{4}\times q)$
3. $-2p^{2}q^{4}(2p+q)$