2/(9-x^2) + 5(x-3)

= 2/(3-x)(3+x) + 5/(x-3)

= 2(x-3) + 5(3-x)(3+x) / (x-3)(3-x)(3+x)

= 2x - 6 + 15 - 5x(3+x) / (x-3)(3-x)(3+x)

= 2x - 6 + 15 - 15x + 5x^2 / (x-3)(3-x)(3+x)

= 5x^2 - 13x + 9 / (x-3)(3-x)(3+x)

I think I went wrong somewhere...help please?