Or use polynomial variables rather than symbolic variables. ``` sage: R.<a, b, c> = PolynomialRing(QQ) sage: f = 1/(a-b) + 2/(b-c) + 3/(c-a) sage: f (-2*a^2 + 4*a*b - 3*b^2 + 2*b*c - c^2)/(-a^2*b + a*b^2 + a^2*c - b^2*c - a*c^2 + b*c^2) sage: g = f*(a-b)*(b-c)*(c-a) sage: g -2*a^2 + 4*a*b - 3*b^2 + 2*b*c - c^2 sage: f.numerator() -2*a^2 + 4*a*b - 3*b^2 + 2*b*c - c^2 ```
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