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Math Help - Adding rational expressions

  1. #1
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    Adding rational expressions

    I need a little help simplifying this problem.





    =___ 1 ____ + x-1
    (2x-1)(2x-1) (2x-1)


    I can get this far, but then I get stuck.
    I need to find the least common denomitor next and I think it's (2x-1)(2x-1) but I'm not sure.

    somehow this problem is supposed to equal




    ?
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  2. #2
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    Quote Originally Posted by Hypertension View Post
    I need a little help simplifying this problem.





    =___ 1 ____ + x-1
    (2x-1)(2x-1) (2x-1)


    I can get this far, but then I get stuck.
    I need to find the least common denomitor next and I think it's (2x-1)(2x-1) but I'm not sure.
    That is correct:

    \frac1{(2x - 1)^2} + \frac{x-1}{2x-1}

    =\frac1{(2x - 1)^2} + \frac{(x-1)(2x - 1)}{(2x-1)(2x-1)}

    =\frac{1 + (x-1)(2x - 1)}{(2x-1)^2}

    You can take it from here, yes?
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  3. #3
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    Yep.


    After multiplying I came up with:

     \frac{1+2x^2-3x+1}{(2x-1)^2}



    wich equals the answer

     \frac{2x^2-3x+2}{(2x-1)^2}



    Thank you
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