Question

Add. Simplify, if possible. Help please.

Answer 1

Answer: A

Explanation:

To add fractions, we want to make sure there is a common denominator. After that, we can add the numerator.

`(8)/(z^2+6z+9) +(5)/(z^2-9)` [factor denominator]

`(8)/((z+3)(z+3)) +(5)/((z+3)(z-3))` [multiply first fractioni by z-3 and second by z+3]

`(8(z-3))/((z+3)^2(z-3)) +(5(z+3))/((z+3)^2(z-3))` [distribute by FOIL]

`(8z-24)/((z+3)^2(z-3)) +(5z+15)/((z+3)^2(z-3))` [add]

`(13x-9)/((z+3)^2(z-3))`

This is the same as A. Therefore, A is our answer.