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Math Help - Can anyone tell me if this simplifying is correct?

  1. #1
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    Can anyone tell me if this simplifying is correct?

    2/(9-x^2) + 5(x-3)
    = 2/(3-x)(3+x) + 5/(x-3)
    = 2(x-3) + 5(3-x)(3+x) / (x-3)(3-x)(3+x)
    = 2x - 6 + 15 - 5x(3+x) / (x-3)(3-x)(3+x)
    = 2x - 6 + 15 - 15x + 5x^2 / (x-3)(3-x)(3+x)
    = 5x^2 - 13x + 9 / (x-3)(3-x)(3+x)

    I think I went wrong somewhere...help please?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Jeavus View Post
    2/(9-x^2) + 5(x-3)
    = 2/(3-x)(3+x) + 5/(x-3)
    = 2(x-3) + 5(3-x)(3+x) / (x-3)(3-x)(3+x)
    = 2x - 6 + 15 - 5x(3+x) / (x-3)(3-x)(3+x)
    = 2x - 6 + 15 - 15x + 5x^2 / (x-3)(3-x)(3+x)
    = 5x^2 - 13x + 9 / (x-3)(3-x)(3+x)

    I think I went wrong somewhere...help please?
    you made life too hard on your self.

    note that \frac {2}{9 - x^2} + \frac {5}{x - 3} = \frac {2}{(3 - x)(3 + x)} - \frac {5}{3 - x}

    now continue
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