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Math Help - simplifying expression help.

  1. #1
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    simplifying expression help.

     \frac{x + y - (x^2 + y^2)}{x + y }



    dont know were to start
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  2. #2
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    Quote Originally Posted by Tweety View Post
     \frac{x + y - (x^2 + y^2)}{x + y }



    dont know were to start
    You might change it to this, but I'm not sure if that's a simplification.

    \frac{x+y}{x+y}-\frac{x^2+y^2}{x+y}=1-\frac{x^2+y^2}{x+y}
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  3. #3
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    Quote Originally Posted by masters View Post
    You might change it to this, but I'm not sure if that's a simplification.

    \frac{x+y}{x+y}-\frac{x^2+y^2}{x+y}=1-\frac{x^2+y^2}{x+y}

    Hi,

    thanks for replying but apparently the answer is  \frac{2xy}{x +y} I don't know how to get to this.
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  4. #4
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    Use polynomial long division.
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  5. #5
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    Hello,

    Complete a square :
    x^2+y^2=x^2+y^2+2xy-2xy=(x+y)^2-2xy

    So we have :

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

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