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

D

Explanation:

Answer 2

The answer is option D.

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

Hope this helps you