SOLUTION: im preparing for a test and there will be question like this on there and im really confused can you show me how to do it? [x/(x-4)+6/(x+4)]÷3/(2x^2-32)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: im preparing for a test and there will be question like this on there and im really confused can you show me how to do it? [x/(x-4)+6/(x+4)]÷3/(2x^2-32)      Log On


   

Question 751702: im preparing for a test and there will be question like this on there and im really confused can you show me how to do it? [x/(x-4)+6/(x+4)]÷3/(2x^2-32)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Division by a number means multiplication by its reciprocal. You then have
%28x%2F%28x-4%29%2B6%2F%28x%2B4%29%29%2A%282x%5E2-32%29%2F3

%28x%28x%2B4%29%2B6%2A%28x-4%29%29%2F%28%28x-4%29%28x%2B4%29%29%2A%282x%5E2-32%29%2F3
%28x%28x%2B4%29%2B6%2A%28x-4%29%29%2F%28%28x-4%29%28x%2B4%29%29%2A%282%28x%5E-16%29%29%2F3


%28x%28x%2B4%29%2B6%28x-4%29%29%282%2F3%29
which can be finished multiplying whatever remains undone in the numerator and continuing simplifying, combining like-terms according to what's found.