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Simplifying a fraction with sums of polynomials in the numerator

I'm trying to simplifying the following in maxima:

(6*C*b3m*ω+(8*%i*R0^3*b^3-24*%i*R0^3*a*b^2+24*%i*R0^3*a^2*b-8*%i*R0^3*a^3)*Γ+3*A*E*a3p*k+2*%i*K*b3m)/(6*C*ω+3*A*E*k+2*%i*K)

So far, here's what I get : wxmaxima output

But I can easily see that the quantity in brackets there is nothing but (8*R0**3*(b-a)**3)*Γ. In fact I can see this by just evaluating this :

evaluation of simplification

It's frustrating to see maxima miss this and I don't know what to do to simplify this. Any help will be appreciated!

Solution

  • I sent this through the maxima mailing list and got a response from Barton Willis ([email protected]). I'm posting the answer here so it will be useful for others:

    Try using scanmap('factor,%); thus:

    (%i10)
    (6Cb3mω+(8%iR0^3b^3-24*%iR0^3ab^2+24%iR0^3a^2b-8%iR0^3a^3)Γ+3AEa3pk+2%iKb3m)/(6Cω+3AEk+2%i*K)$

    (%i11) scanmap('factor,%);

    (%o11) (6Cb3mω+8%iR0^3(b-a)^3Γ+3AEa3pk+2%iKb3m)/(6Cω+3AEk+2%i*K)

    --Barton

    Here's the expression in wxmaxima: enter image description here