Respuesta :
Answer:
The answer is:
[tex] \frac{5 x - 12}{(x + 3)(x - 3)} [/tex]
Step-by-step explanation:
[tex] \frac{3}{x ^{2} - 9} + \frac{5}{x + 3} [/tex]
First, we have to make the denorminator same by multiplying:
[tex] \frac{3}{(x + 3)(x - 3)} + \frac{5}{x + 3} [/tex]
[tex] \frac{3}{(x + 3)(x - 3)} + \frac{5(x - 3)}{(x + 3)(x - 3)} [/tex]
Then, we can add up everything together:
[tex] \frac{3 + 5x - 15}{(x + 3(x - 3)} [/tex]
[tex] \frac{5x - 12}{(x + 3)(x - 3)} [/tex]
(Sorry if being messy)