Math Help - Correct Rational Expression?

1. Correct Rational Expression?

Hello, everybody. I did an exercise from a textbook I'm learning from and here is the rational expression which I'm required to add:

$

\frac {6}{x + 3} - \frac {x + 4}{9 - x^2} + \frac {2x - 3}{9 - 6x + x^2}

$

Here is the answer which I got:

$

\frac {9x^2 - 32x + 33}{(x + 3)(x - 3)^2}

$

I would very much appreciate if anyone can tell me whether or not I did this problem correctly, as there is no answer for it in the book. Thank you very much for your time. :]

Colton

2. Just discovered a beautiful thing called mathway.com and my question was answered with the power of technology. :] Thanks to all anyways who may have helped me.

3. Dear Noegddgeon,