SOLUTION: Hi, I am trying to simplify this, can you please show me the steps? {{{(x/3) - {[(2x-3)/x]/[(x/3)-(3/x)]}}} I have tried using the simplifier at: <http://www.algebra.com/s

Algebra ->  Rational-functions -> SOLUTION: Hi, I am trying to simplify this, can you please show me the steps? {{{(x/3) - {[(2x-3)/x]/[(x/3)-(3/x)]}}} I have tried using the simplifier at: <http://www.algebra.com/s      Log On


   

Question 54850: Hi, I am trying to simplify this, can you please show me the steps?
%28x%2F3%29+-+%7B%5B%282x-3%29%2Fx%5D%2F%5B%28x%2F3%29-%283%2Fx%29%5D
I have tried using the simplifier at:

The simplifier gives:
(x/3)-((2x-3)/x)/((x/3)-(3/x)) simplifies to x/3-(2*x-3)/x/(x/3-3/x)
but shouldn't it simplify even further? I am trying to help my daughter but can't remember precalc...
thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2F3%29+-+%7B%5B%282x-3%29%2Fx%5D%2F%5B%28x%2F3%29-%283%2Fx%29%5D
(x/3) - [(2x-3)/x]/[(x^2-9)/3x]
(x/3) - [(2x-3)(x^2-9)/3]
[x-(2x-3)(x^2-9)]/x
[x-[2x^3-18x-3x^2+27]/x
[-2x^3+3x^2+19x-19]/x
Cheers,
Stan H.