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Math Help - Adding rational expressions

  1. #1
    Newbie
    Joined
    Feb 2010
    From
    Wilkes Barre, PA
    Posts
    15

    Adding rational expressions

    Code:
     -2    +    4y    +    6
    -------    -------    -----                LCD = (y+3) (y-3) (y-3)
    y^2 - 9    (y-3)^2     3-y
     
       -2       +    4y      +     6
    ----------    ----------    -------
    (y+3)(y-3)    (y-3)(y-3)   -1(3-y)
     
       -2       +    4y      +    -6
    ----------    ----------    -------
    (y+3)(y-3)    (y-3)(y-3)     (y-3)
     
       -2(y-3)      +    4y(y+3)      +    -6(y+3)(y-3)
    ---------------   ---------------    ---------------
    (y+3)(y-3)(y-3)   (y+3)(y-3)(y-3)    (y+3)(y-3)(y-3)
     
        -2y+6       +    4y^2+12y     +    -6y^2 + 54
    ---------------   ---------------    --------------- 
    (y+3)(y-3)(y-3)   (y+3)(y-3)(y-3)    (y+3)(y-3)(y-3)
     
    -2y^2 + 10y + 60
    ----------------
    (y+3)(y-3)(y-3)
    Is this correct???
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  2. #2
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    It looks right to me.

    Click on the following code to see how you can use LaTex:

    \frac{-2}{y^2 - 9} + \frac{4y}{(y-3)^2} + \frac{6}{3 - y}

    LaTex makes your fractions look nicer.
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