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Math Help - simplify fractions

  1. #1
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    simplify fractions

    x^2+4x-21 x^2-8x+15
    ---------- . ------------
    x^2-6x-16 x^2+9x+14





    can someone just tell me the steps of solving this problem for the first step do i find the GCF first or something like that becuase i have no idea how to do this and if case you dont know its two fractions
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  2. #2
    Senior Member
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    Quote Originally Posted by elfen_lied View Post
    x^2+4x-21 x^2-8x+15
    ---------- . ------------
    x^2-6x-16 x^2+9x+14



    can someone just tell me the steps of solving this problem for the first step do i find the GCF first or something like that becuase i have no idea how to do this and if case you dont know its two fractions
    Hmm.

    I'm assuming that says the following:

    [(x^2 + 4x - 21)/(x^2 - 6x - 16)]*[(x^2 - 8x + 15)/(x^2 + 9x + 14)]

    Factor:

    x^2 + 4x - 21 = (x - 3)*(x + 7)

    x^2 - 6x - 16 = (x - 8)*(x + 2)

    x^2 - 8x + 15 = (x - 5)*(x - 3)

    x^2 + 9x + 14 = (x + 2)*(x + 7)

    Are you able to take it from here?
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