Question

What is the sum?

StartFraction 3 Over x squared minus 9 EndFraction + StartFraction 5 Over x + 3 EndFraction
StartFraction 8 Over x squared + x minus 6 EndFraction
StartFraction 5 x minus 12 Over x minus 3 EndFraction
StartFraction negative 5 x Over (x + 3) (x minus 3) EndFraction
StartFraction 5 x minus 12 Over (x + 3) (x minus 3)

Answer 1

Answer:

The answer is option D.

Step-by-step explanation:

First we must first find the LCM

the LCM of x² - 9 and x + 3 is x² - 9

So we have

$\frac{3}{ {x}^{2} - 9 } + \frac{5}{x + 3} = \frac{3 + 5(x - 3)}{ {x}^{2} - 9} \\ \\ = \frac{3 + 5x - 15}{(x + 3)(x - 3)} \\ \\ = \frac{5x - 12}{(x + 3)(x - 3)}$

Hope this helps you

Answer 2

Answer:

D

Step-by-step explanation: