SOLUTION: Simplify the rational expression. {{{(3/x+4)/((9)/(x^2)-16)}}} Please help me with this.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify the rational expression. {{{(3/x+4)/((9)/(x^2)-16)}}} Please help me with this.      Log On


   

Question 425595: Simplify the rational expression.
%283%2Fx%2B4%29%2F%28%289%29%2F%28x%5E2%29-16%29


Please help me with this.
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2Fx%2B4%29%2F%28%289%29%2F%28x%5E2%29-16%29
Multiply top and bottom by x%5E2.
This gives %283x%2B4x%5E2%29%2F%289-16x%5E2%29
Factoring numerator and denominator, we have
%28x%283%2B4x%29%29%2F%28%283-4x%29%283%2B4x%29%29, which reduces to x%2F%283-4x%29