Express
x+9x2−9\displaystyle \frac{x + 9}{x^2 - 9}x2−9x+9
in the form
Ax−3+Bx+3\displaystyle \frac{A}{x - 3} + \frac{B}{x + 3}x−3A+x+3B
where A A\,A and B B\,B are integers.