4p + 4pq + pq^2 + 2p^2 + p^2q + 4q + 2q^2-16pq / q(p+2)
That's an "expression", not a "problem"! It only becomes a problem when you are told to do something with it- and I don't see that here. What are you supposed to do? And is that final q(p+2) dividing only -16pq or is it dividing the entire expression to the left (in which case you should have parentheses)?