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Math Help - need urgent help

  1. #1
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    need urgent help

    I need help with these, step by step solution PLEASE HELP

    3-2/y
    1/y+4



    2x- x 2 - x
    2-x


    x-1 - x+1
    x+1 x-1
    x-1
    + x+1
    x+1 x-1
    Last edited by flor; December 10th 2012 at 05:06 PM.
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  2. #2
    Forum Admin topsquark's Avatar
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    Re: need urgent help

    Quote Originally Posted by flor View Post
    I need help with these, step by step solution PLEASE HELP

    3-2/y
    1/y+4



    2x- x 2 - x
    2-x


    x-1 - x+1
    x+1 x-1
    x-1
    + x+1
    x+1 x-1
    None of these make any sense. Please rewrite it using parenthesis.

    -Dan
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  3. #3
    Super Member

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    Re: need urgent help

    Hello, flor!

    I can guess what the last one says.
    The others need parentheses and careful typing.


    \displaystyle \frac{\;\dfrac{x-1}{x+1} - \dfrac{x+1}{x-1}\;}{\dfrac{x-1}{x+1} + \dfrac{x+1}{x-1}}

    Multiply top and bottom by (x-1)(x+1)

    . . \dfrac{(x-1)(x+1)\left(\dfrac{x-1}{x+1} - \dfrac{x+1}{x-1}\right)}{(x-1)(x+1)\left(\dfrac{x-1}{x+1} + \dfrac{x+1}{x-1}\right)} \;=\;\dfrac{(x-1)^2 - (x+1)^2}{(x-1)^2 + (x+1)^2}

    . . =\;\frac{(x^2-2x+1) - (x^2 + 2x + 1)}{(x^2-2x+1) + (x^2 + 2x + 1)} \;=\;\frac{\text{-}4x}{2x^2+2} \;=\;\frac{\text{-}2x}{x^2+1}
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