SOLUTION: Put in simplest form. (2x^2-2x-12)/(2x^2-8)÷(x^2-9)/(x^2+x-6)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Put in simplest form. (2x^2-2x-12)/(2x^2-8)÷(x^2-9)/(x^2+x-6)      Log On


   

Question 779521: Put in simplest form. (2x^2-2x-12)/(2x^2-8)÷(x^2-9)/(x^2+x-6)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Put in simplest form.
(2x^2-2x-12)/(2x^2-8)÷(x^2-9)/(x^2+x-6)
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= [2(x^2-x-6)/2(x^2-4)] / [(x-3)(x+3)/(x+3)(x-2)]
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= [2(x-3)(x+2)/2(x-2)(x+2)] / [(x-3)/(x-2)]
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= [(x-3)/(x-2)] / [(x-3)/(x-2)]
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= 1
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Cheers,
Stan H.