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?
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