SOLUTION: ((x+9)/(-2-x))/((x^2-2x-63)/(x^2-7x-18)) Im a little confused. Help please? Thank you.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: ((x+9)/(-2-x))/((x^2-2x-63)/(x^2-7x-18)) Im a little confused. Help please? Thank you.      Log On


   

Question 747300: ((x+9)/(-2-x))/((x^2-2x-63)/(x^2-7x-18)) Im a little confused. Help please? Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
((x+9)/(-2-x))/((x^2-2x-63)/(x^2-7x-18))
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= (x+9)/(-(2+x))/((x^2-9x+7x-63)/(x^2-9x+2x-18))
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= (x+9)/(-(2+x))/((x(x-9)+7(x-9))/(x(x-9)+2(x-9))
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= (x+9)/(-(2+x))/(((x-9)(x+7))/((x-9)(x+2)))
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= (x+9)/(-(2+x))]
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Cancel all factors that are common to numerator and denominator.
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= [(x+9)/(-1)]
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= -(x+9)/(x+7)
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Cheers,
Stan H.
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