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Math Help - Factorising problems

  1. #1
    Junior Member Pinsky's Avatar
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    Factorising problems

    I have an example:

    \frac{1}{(s^2+1)(s+2)^2}=
    \frac{As+B}{s^2+1}+\frac{C}{(s+2)^2}+\frac{D}{s+2}

    Now, what bothers me here is that i don't understand when to use As+B and when just A.

    I read that it has something to do with real square roots, but i didn't get it.
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  2. #2
    Super Member
    earboth's Avatar
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    Quote Originally Posted by Pinsky View Post
    I have an example:

    ...
    Now, what bothers me here is that i don't understand when to use As+B and when just A.

    I read that it has something to do with real square roots, but i didn't get it.
    Have a look here: Partial fraction - Wikipedia, the free encyclopedia

    Especially at

    1.3. An irreducible quadratic factor in the denominator
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