Answer:
[tex]\frac{2}{(x + 3)}[/tex]
Step-by-step explanation:
[tex]\frac{2x - 10}{x^{2} - 2x - 15}[/tex]
pull 2 from top
[tex]\frac{2(x - 5)}{x^{2} - 2x - 15}[/tex]
we are looking to cancel (x-5) so will start with
(x - 5)(x + 3), selected (x+3) because the sign must be negative and must multiply to -15
[tex]\frac{2(x - 5)}{(x - 5)(x + 3)}[/tex]
now cancel (x-5)
[tex]\frac{2}{(x + 3)}[/tex]
