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Math Help - Adding Fraction with Variable and Exponents

  1. #1
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    Angry Adding Fraction with Variable and Exponents

    The problem is as follows:

    What I am having a hard time understanding is why was multiplied by instead of by .

    Thanks a bunch!
    Last edited by cezsasha; January 30th 2009 at 11:35 PM. Reason: picture not correct
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  2. #2
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    Quote Originally Posted by cezsasha View Post
    The problem is as follows:

    What I am having a hard time understanding is why was multiplied by instead of by .

    Thanks a bunch!
    the LCD is  x^2(x+y)^3

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

    it's the same as

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


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

    you divide (x+y)^3 by the denominator which is (x+y) that's why you only multiplied (x+y)^2 to the first term
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