Answer:
[tex]\frac{13x+10}{(2x+5)(x-5)}[/tex]
Step-by-step explanation:
[tex]\frac{3}{2x+5} + \frac{5}{x-5}[/tex]
To add and simplify these fractions we make the denominators same
LCD is (2x+5)(x-5)
[tex]\frac{3*(x-5)}{(2x+5)*(x-5)} + \frac{5*(2x+5)}{(x-5)*(2x+5)}[/tex]
We distribute 3 inside x-5 and 5 inside 2x+5
[tex]\frac{3x-15}{(2x+5)(x-5)} + \frac{10x+25}{(2x+5)(x-5)}[/tex]
[tex]\frac{3x-15+10x+25}{(2x+5)(x-5)}[/tex]
[tex]\frac{13x+10}{(2x+5)(x-5)}[/tex]
