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Math Help - Simplifying Rationals

  1. #1
    Newbie Auger's Avatar
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    Simplifying Rationals

    http://img14.imageshack.us/img14/5564/11102137.jpg

    i had to save the picture and upload it because the equations wouldnt come out right in the text box. just zoom in the picture and itss fine.
    thanks in advance!
    Last edited by Auger; September 17th 2009 at 12:58 PM. Reason: came out wrong
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by Auger View Post
    http://img14.imageshack.us/img14/5564/11102137.jpg

    i had to save the picture and upload it because the equations wouldnt come out right in the text box. just zoom in the picture and itss fine.
    thanks in advance!
    Hi Auger,

    Here's the first one.

    \frac{1}{x^2-x-2}-\frac{x}{x^2-5x+6}

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

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

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

    \frac{-(x^2+3)}{(x+1)(x-2)(x-3)}
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  3. #3
    A riddle wrapped in an enigma
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    And the second one...Seems like there aught to be an easier way, but here goes. Maybe an algebraist will step in and clean it up.

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

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

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

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

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

    \frac{(x+2)(\sqrt{x+1})}{(x+1)^2}


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

    \boxed{\frac{x+2}{(x+1)^{\frac{3}{2}}}}
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  4. #4
    Newbie Auger's Avatar
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    thanks so much man. the reason i wasnt getting the right answers was because i wasnt simplifying enough in the first steps, which caused me to continue getting the wrong answer. + rep and thanks fo sho hahaha
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