Yes, exactly 12xy= 24x+36y.

On 5 December 2010 00:22, JamesHDavenport <j.h.davenp...@bath.ac.uk> wrote:

>
>
> On Dec 4, 5:14 pm, Santanu Sarkar <sarkar.santanu....@gmail.com>
> wrote:
> > Consider a collection of polynomials over three variables x, y, z.
> > Suppose, we replace monomial xy by 2x+3y for each polynomial.
> > And also each multiple of xy say xyz will be replaced by z(2x+3y).
> Therefore (xy)*(xy) will be (2x+3y)*(2x+3y) which has 12xy:
> does this get rewritten to 24x+36y?
> Until you define this, I don't know what you mean.
> > Is there any easier method to do this in Sage?
> Groebner bases with elimination orderings tend to be easy-to-write
> ways of doing this sort of thing.
>
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