Respuesta :

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!