Question

Simplify: 3/2x+5+5/x-5

Answer 1

`(13x+10)/((2x+5)(x-5))`

Explanation:

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

To add and simplify these fractions we make the denominators same

LCD is (2x+5)(x-5)

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

We distribute 3 inside x-5 and 5 inside 2x+5

`(3x-15)/((2x+5)(x-5)) + (10x+25)/((2x+5)(x-5))`

`(3x-15+10x+25)/((2x+5)(x-5))`

`(13x+10)/((2x+5)(x-5))`