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Decomposition of a rational expression

  1. Feb 24, 2010 #1
    1. The problem statement, all variables and given/known data

    Decompose the rational expression into a sum of partial fractions:


    I am familiar with the method of decomposing fractions into a sum of partials fractions (solving for A, B, C, etc.). What is confusing me is the coefficient 3 in the denominator. Do I have to include the 3 in the denominator of all the partial fractions or just one? why?
  2. jcsd
  3. Feb 24, 2010 #2

    [tex]\frac{x+1}{3(x-2)^2}=\frac{1}{3} \left( \frac{A}{x-2} + \frac{B}{(x-2)^2} \right) = \frac{A}{3(x-2)} + \frac{B}{3(x-2)^2} [/tex]
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