SOLUTION: I have been working to solve the question: Factor the following: {{{(2x/(x^3-5x^2))-(2/(x^2+5x))}}} I have come up with {{{20/x(x-5)(x+5)}}}. Is that answer right?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have been working to solve the question: Factor the following: {{{(2x/(x^3-5x^2))-(2/(x^2+5x))}}} I have come up with {{{20/x(x-5)(x+5)}}}. Is that answer right?      Log On


   

Question 121918: I have been working to solve the question:
Factor the following: %282x%2F%28x%5E3-5x%5E2%29%29-%282%2F%28x%5E2%2B5x%29%29
I have come up with 20%2Fx%28x-5%29%28x%2B5%29. Is that answer right?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%2F%28x%5E3-5x%5E2%29%29-%282%2F%28x%5E2%2B5x%29%29
I have come up with 20/x(x-5)(x+5). Is that answer right?
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2x/(x^3-5x^2) - 2/(x^2+5x)
= 2x/[x^2(x-5)] - 2/[x(x+5)]
lcd = x^2(x^2-25)
= 2x(x+5)/lcd - 2x(x-5)/lcd
= [2x^2+10x-2x^2+10x]/lcd
= 20x/[x^2(x^2-25)]
= 20/[x(x^2-25)]
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You are correct.
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Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Your answer is correct.