Question

How do you subtract `\frac { 6} { x + 4} - \frac { 5} { x - 4}`?

Answer 1

`(x-44)/(x^2-16)`

Explanation:

`6/(x+4)-5/(x-4)=(6(x-4)-5(x+4))/(x^2-16)`

And simplifying the numerator is given by:

`(6(x-4)-5(x+4))/(x^2-16)`

`=(6x-24-5x-20)/(x^2-16)`

`=(x-44)/(x^2-16)`