Answer:
Option 3: 2/(x-4)
Step-by-step explanation:
Factoring the top part:
2x + 8 = 2(x+4)
Factoring the bottom part using difference of squares:
x^2 - 16 = (x+4)(x-4)
We can cancel the x+4 from the top and the bottom, so all we are left is:
2/(x-4)