SOLUTION: Reduce rational expression (Please show steps) {{{(2x^2-7x-15)/(x^2-25)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Reduce rational expression (Please show steps) {{{(2x^2-7x-15)/(x^2-25)}}}      Log On


   

Question 299069: Reduce rational expression (Please show steps)
%282x%5E2-7x-15%29%2F%28x%5E2-25%29
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Reduce rational expression (Please show steps)
(2x^2-7x-15)/(x^2-25)
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Factor numerator and denominator:
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(2x^2 -10x+3x - 15)/[(x-5)(x+5)]
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[2x(x-5)+3(x-5)]/[(x-5)(x+5)]
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[(x-5)(2x+3)]/[(x-5)(x+5)]
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(2x-3)/(x+5)
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Cheers,
Stan H.