1. ## problem

4p + 4pq + pq^2 + 2p^2 + p^2q + 4q + 2q^2-16pq / q(p+2)

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)?

3. Originally Posted by the undertaker
4p + 4pq + pq^2 + 2p^2 + p^2q + 4q + 2q^2-16pq / q(p+2)
Hi the undertaker,

Is the problem simplify the following?

$\frac{4p + 4pq + pq^2 + 2p^2 + p^2q + 4q + 2q^2-16pq}{q(p+2)}$

If so note that

$q(p+2)^2=p^2+4pq+4q$

$q^2(p+2)=pq^2+2q^2$

$2p(p+2)=2p^2+4p$

and so the expression becomes

$\frac{q(p+2)^2+q^2(p+2)+2p(p+2)-16pq}{q(p+2)} = q+p+2+\frac{2p}{q}-\frac{16p}{p+2}$

But perhaps that can be simplified more...