Originally Posted by

**Quacky** In the future, would you mind posting some working out stages rather than jumping immediately several stages ahead? It would help us to follow your logic and check your solution.

Firstly, you have no reason to do anything with the denominator. Once you've found the common denominator, just leave it as it is. Expanding it is just wasting your energy (and potentially exam time!).

When we combine everything, we get:

$\displaystyle \frac{2x(x+1)+3(x+1)(2x-3)-2x(2x-3)}{(2x-3)(x+1)}$

This is certainly a monster, so don't try to rush it. Take it term by term. I'd suggest starting by rewriting the $\displaystyle 3(x+1)$ towards the middle as $\displaystyle (3x+3)$

Then, start chronologically from the beginning and expand, using FOIL if necessary.