Answer:
[tex]\frac{2}{x-4}[/tex]
Step-by-step explanation:
[tex]\frac{2x+4}{x^2-2x-8}[/tex]
Factor both the numerator and denominator
[tex]\frac{2(x+2)}{(x-4)(x+2)}[/tex]
The [tex]x+2[/tex] 's cancel out
The equation in its simplest form is [tex]\frac{2}{x-4}[/tex]
Hope this helps!