On Fri, Nov 26, 2021 at 7:19 PM Ricardo Fodra <ricardo.fo...@gmail.com> wrote:
>
> So I tried to do:
>
> var('a b c')
> f = 1/(a-b) + 2/(b-c) + 3/(c-a)
> # get rid of the denominators
> g = f*(a-b)*(b-c)*(c-a)
> g.expand()
>
> And I was hoping to get something like:
>
> -a*b + a*c + b*c - c^2 - 2*a - 2*b - c
>
> and instead I got:
>
> -a^2*b/(a - b) + 3*a^2*b/(a - c) - 2*a^2*b/(b - c) + a*b^2/(a - b) -
> 3*a*b^2/(a - c) + 2*a*b^2/(b - c) + a^2*c/(a - b) - 3*a^2*c/(a - c) +
> 2*a^2*c/(b - c) - b^2*c/(a - b) + 3*b^2*c/(a - c) - 2*b^2*c/(b - c) -
> a*c^2/(a - b) + 3*a*c^2/(a - c) - 2*a*c^2/(b - c) + b*c^2/(a - b) -
> 3*b*c^2/(a - c) + 2*b*c^2/(b - c)
>
> Are those equivalent? Am I doing something wrong?
do the following:
sage: g.simplify_rational()
-2*a^2 + 4*a*b - 3*b^2 + 2*b*c - c^2
>
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