Question

PLEASE HELP! IM ALMOST DONE !

Answer 1

D.
`(22x + 48)/(x^2 - 36)`

Explanation:

Given:

`(15)/(x - 6) + (7)/(x + 6)`

Required:

Find its equivalent expression

Solution:

Add both fractions

Thus,

`(15)/(x - 6) + (7)/(x + 6)`

`(15(x + 6) + 7(x - 6))/(x^2 - 36)`

`(15x + 90 + 7x - 42)/(x^2 - 36)`

`(15x + 7x + 90 - 42)/(x^2 - 36)`

`(22x + 48)/(x^2 - 36)`

Therefore,

`(15)/(x - 6) + (7)/(x + 6) = (22x + 48)/(x^2 - 36)`