On Wednesday, September 7, 2016 at 11:10:48 AM UTC+2, slelievre wrote:
>
> The problem is that subtracting `r2 - 3 * r^2` yields an expression
> whose expression tree no longer contains `(x^2 + y^2 + z^2)`.
>

I consider it a bug and an equivalent case is substituting in the
denominator, the fix of which needs review:
https://trac.sagemath.org/ticket/21071

sage: ((1+x^2)/x^2).subs({x^2: 42})
43/x^2


Thanks for the report.

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