Question

Keep on getting 10x+12

Answer 1

`(13x+10)/(2x^2-5x-25)`

Explanation:

Multiply the first fraction by (x-5)/(x-5) and the second by (2x+5)/(2x+5). Now, you have both fractions with the common denominator (2x+5)(x-5).

`(3)/(2x+5)+(5)/(x-5)=(3(x-5))/((2x+5)(x-5))+(5(2x+5))/((2x+5)(x-5))\\\\=(3(x-5)+5(2x+5))/((2x+5)(x-5))=(3x-15+10x+25)/(2x^2-5x-25)\\\\=(13x+10)/(2x^2-5x-25)`