This question seems really hard but i have a feeling it's really easy. Answer asap please . Simplifying

Question

Simplify

 

(1)/(x+4) + (1)/(x-4)   /   (x)/(x²-16)  +  (1)/(x+4)

 

 

Thanks a lot hoping to understand every thing for my upcoming finals

Answer 1

First, look at the numerator and denominator as "two separate problems". For both parts, find a common denominator. For example, your numerator is 1/(x+4)+1/(x-4). Your common denominator is (x+4)(x-4). So, multiply the first fraction by (x-4)/(x-4) and the second by (x+4)/(x+4). Then, combine into one large fraction. Do the same with the denominator of your large problem. Once you have one large fraction divided by another large fraction, remember  that diving by a fraction is the same as multiplying by its reciprocal. (for the denominator, notice that x^2-16 is a difference of squares and can be factored into (x+4)(x-4). Good Luck!

 

-Sam