Question

What is the sum?

ܘܝܐ ܘ
5x-12
0
3-x܂
-5x
o x+sz-3
(x+30(x-3)
5x- 12
(x+xhx-3)

Answer 1

`(5x-12)/((x+3)(x-3))`

Explanation:

We can simplify the left fraction by simplifying the denominator.

First note the formula
`a^2-b^2=(a+b)(a-b)`

So, we can write:

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

Now, we can do LCM and write:

`(3)/((x-3)(x+3))+(5)/(x+3)\\=(3+5(x-3))/((x+3)(x-3))\\=(3+5x-15)/((x+3)(x-3))\\=(5x-12)/((x+3)(x-3))`

The last answer choice is right.