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Partial Fraction Decomp with a constant

  1. Feb 12, 2012 #1
    This is throwing me through so many loops.

    I have the equation 1/(x^3 + xa^2).

    I can not for the life of me decompose this equation.

    I use 1(x^3 + xa^2) = A/x + (Bx + C)/(v^2+a^2)

    I can get A=1/a^2, but from there progress stops.

    All examples on the internet and books only have one variable.

    What do I do?
  2. jcsd
  3. Feb 12, 2012 #2
    Nevermind, I figured it out.

    My second term needs to be (Bx+Cy)/(x^2 + a^2)
    Last edited: Feb 12, 2012
  4. Feb 12, 2012 #3


    Staff: Mentor

    You have some extra stuff in there that you don't need, and you are missing some parentheses. The second term should be
    [tex]\frac{Bx + C}{x^2 + a^2}[/tex]

    If you write this without using LaTeX, it should be
    (Bx + C)/(x2 + a2)
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