Question

How do you add `3/(x-7)+5/(x+2)`?

Answer 1

`color(green)(=> (8x - 29) / (x^2 -5x -14)`

Explanation:

`3/(x-7) + 5 / ((x + 2)`

`L C M = (x-7) * (x + 2)`

`=> (3 * (x+2) + 5 * (x-7)) / ((x-7) * (x + 2))`

`=> (3x + 6 + 5x - 35) / ((x-7) * (x+2))`

`color(green)(=> (8x - 29) / (x^2 -5x -14)`