Question

How do you combine `\frac { 5} { x + 4} - \frac { 1} { x - 3}`?

Answer 1

You cross-multiply the denominators:

Explanation:

`=5/(x+4)xx(x-3)/(x-3)-1/(x-3)xx(x+4)/(x+4)`

`=(5(x-3))/((x+4)(x-3))-(1(x+4))/((x+4)(x+3))`

`=(5x-15-x-4)/((x+4)(x-3))=(4x-19)/(x^2+7x+12)`