Question

Select the correct answer.
If no denominator equals zero, which expression is equivalent to

Answer 1

D

Explanation:

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

before we can add the fractions we require them to have a common denominator.

the common denominator is (x - 6)(x + 6)

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

=
`(15x+90+7x-42)/((x-6)(x+6))` ← expand denominator using FOIL

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