Question

How do you combine `\frac { 3} { x - 6} - \frac { 3} { x + 2}` into one expression?

Answer 1

`24/((x-6)(x-2))`

Explanation:

The denominators need to be the same to combine the fractions so times `(x+2)` to the Left fraction and `(x-6)` to the right one.

`3/(x-6)*(x+2)/(x+2)-3/(x+2)*(x-6)/(x-6)`

`(3(x+2))/((x-6)(x-2))-(3(x-6))/((x+2)(x-6))`

`(3(x+2)-3(x-6))/((x-6)(x-2))`

`(3x+6-3x+18)/((x-6)(x-2))`

`24/((x-6)(x-2))`