SOLUTION: How do I simplify the following expression: {{{ (((3*a)/((a^2/x)-1)))/((a/x)-1) }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I simplify the following expression: {{{ (((3*a)/((a^2/x)-1)))/((a/x)-1) }}}      Log On


   

Question 207577: How do I simplify the following expression:
+%28%28%283%2Aa%29%2F%28%28a%5E2%2Fx%29-1%29%29%29%2F%28%28a%2Fx%29-1%29+
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(3*a)/((a^2/x)-1)))/((a/x)-1)
---
(3a/[(a^2-x)/x] / [(a-x)/x]
---
= [(3ax)/(a^2-x)]* [x/(a-x)]
---
= [3ax^2]/[(a-x)(a^2-x)]
===============================
Cheers,
Stan H.