have a question help

Question

anonymous · Answer

$$\frac{ 2x }{ x^{2}-16 }+\frac{ 2 }{ x-4 }$$

anonymous · Answer

i know the first thing is to factor the denominator of first so would be $$\frac{ 2x }{ \left( x-4 \right)\left( x+4 \right) } + \frac{ 2\left( x+4 \right) }{ \left( x-4 \right)\left( x+4 \right)}$$

anonymous · Answer

the answer the book gives is $$\frac{ x^{2}+6x }{ \left( x-4 \right)\left( x+4 \right) }$$

phi · Answer

looks like a typo in the question or the answer.

anonymous · Answer

the top of this is wrongi it should be 4x+8. then write it as 4(x+2)

anonymous · Answer

ok i have that as i did when i wrote it on my paper

phi · Answer

the  top is not wrong, it is not simplified.  There is a difference.
However,simplified or not,   it is correct, and the answer given in the text is incorrect.

anonymous · Answer

so if i did the problem right what would the correct answer be? lol

phi · Answer

top is 4(x+2)
bottom is x^2 - 16  (or leave it factored)

anonymous · Answer

ok cool thats what i have :)