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Math Help - simplify expression into form of s^2 +A*s +B

  1. #1
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    simplify expression into form of s^2 +A*s +B

    Should be easy for me, but it is not! Could someone show the steps to put the following statement into form of s^2 +As +B?
    s/(Rc*C) +s^2 +s/(C(L*s+RL))
    Thanks in advance!
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  2. #2
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    Re: simplify expression into form of s^2 +A*s +B

    Quote Originally Posted by ncbill View Post
    Should be easy for me, but it is not! Could someone show the steps to put the following statement into form of s^2 +As +B?
    s/(Rc*C) +s^2 +s/(C(L*s+RL))
    Thanks in advance!
    You already have the " s^2" so you just need to add s/(Rc*C)+ s/(L*s+ RL)= (1/(Rc*C)+ 1/(L*s+ RL). Add the fractions. There will be NO "+ B" part.
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  3. #3
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    Re: simplify expression into form of s^2 +A*s +B

    Hello, ncbill!

    Your notation is confusing.
    Please restate the problem clearly.


    Could someone show the steps to put the following statement into form of s^2 +As +B?
    . . s/(Rc*C) +s^2 +s/(C(L*s+RL))

    You seem to use "*" for multiplication.

    Then what does "Rc" mean?
    . . Is that a subscript?. R_c
    Does "RL" mean R_L\,?

    You seem to have: . \frac{s}{CR_c} + s^2 + \frac{s}{C(Ls + R_L)}

    Note that there is an s in the denominator.
    . . We can never get it into the form s^2 + As + B.
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  4. #4
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    Re: simplify expression into form of s^2 +A*s +B

    I totally agree with Soroban, there does not seem to be any chance. could be you have posted the question wrong. Please have a re-look.
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  5. #5
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    Re: simplify expression into form of s^2 +A*s +B

    Wow! You folks are incredible. Thanks Soroban, your interpretation of my primitive notation is correct. I do not yet have the tools to typeset it so beautifully, not to mention that I lack the experience. You have validated my frustration in trying to force the expression into that quadratic form.
    Now for an interesting twist...
    Can it be done if "s" is a complex number?
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