SOLUTION: I can not figure out this equation: {{{(x^2-a/x)/(a^2-a/x)}}}. Please help me.

Algebra ->  Expressions -> SOLUTION: I can not figure out this equation: {{{(x^2-a/x)/(a^2-a/x)}}}. Please help me.      Log On


   

Question 96924: I can not figure out this equation: %28x%5E2-a%2Fx%29%2F%28a%5E2-a%2Fx%29. Please help me.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2-a%2Fx%29%2F%28a%5E2-a%2Fx%29 Start with the given expression


%28x%2Fx%29%28%28x%5E2-a%2Fx%29%2F%28a%5E2-a%2Fx%29%29 Multiply the fraction by x%2Fx


%28x%2Ax%5E2-x%2Aa%2Fx%29%2F%28x%2Aa%5E2-x%2Aa%2Fx%29 Distribute

%28x%5E3-a%29%2F%28x%2Aa%5E2-a%29 Multiply

Since you don't have an equal sign, you don't have an equation to solve.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2-a/x)/(a^2-a/x)
= [(x^3-a)/x] / [(a^2x -a)/x]
Invert the denominator and multiply to get:
= [[(x^3-a)/x] * [x/(a^2x -a)]
Cancel the common "x" factor in the numerator and denominator to get:
= (x^3-a)/(a^2x-a)
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Cheers,
Stan H.