# Math Help - Can anyone tell me if this simplifying is correct?

1. ## Can anyone tell me if this simplifying is correct?

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?

2. Originally Posted by Jeavus
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?
note that $\frac {2}{9 - x^2} + \frac {5}{x - 3} = \frac {2}{(3 - x)(3 + x)} - \frac {5}{3 - x}$