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Math Help - how can i solve this

  1. #1
    Junior Member
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    how can i solve this

    ok, this is the task:

    8/ x-4 + 6/ 3x -6 =

    i know the first step, which is:

    8*(3x-6) + 6*(x-4) / (x-4)*(3x-6)


    but then, i dont know what to do
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  2. #2
    Senior Member nikhil's Avatar
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    Quote Originally Posted by makaveli89 View Post
    ok, this is the task:

    8/ x-4 + 6/ 3x -6 =

    i know the first step, which is:

    8*(3x-6) + 6*(x-4) / (x-4)*(3x-6)


    but then, i dont know what to do
    8/ x-4 + 6/ 3x -6 =???
    Well mathematically your first step is right!
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  3. #3
    Super Member
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    Quote Originally Posted by makaveli89 View Post
    ok, this is the task:

    8/ x-4 + 6/ 3x -6 =

    i know the first step, which is:

    8*(3x-6) + 6*(x-4) / (x-4)*(3x-6)


    but then, i dont know what to do
    \frac{8}{x^2-4} + \frac{6}{3x-6}

    =\frac{(8)(3x-6) + (6)(x^2 - 4)}{(x^2-4)(3x-6)}

    =\frac{6x^2 +24x -72}{(x^2-4)(3x-6)}

    =\frac{(6)(x^2 + 4x - 12)}{(3)(x+2)(x-2)(x-2)}

    =\frac{(6)(x-2)(x+6)}{(x+2)(3)(x-2)^2}

    Can you simplify and finish the question off now?
    Last edited by Simplicity; August 6th 2008 at 09:21 AM.
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