Answer:
D
Step-by-step explanation:
Let's start off by factoring/ simplifying everything
2x+8= 2(x+4)
x²-16= (x-4)²
x²+8x+16= (x+4)²
Now we can simplify the answer choices
[tex]A: \frac{2}{x-4}\div(x+4)\\B:\frac{x-4}{2}\div(\frac{1}{x+4})\\C:\frac{2}{x-4}*(x+4)\\D:\frac{x-4}{2}*\frac{1}{x+4}[/tex]
Now that the math is much easier a quick scanthrough will tell use that the answer must be D
