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Re: Re: Simplify and Gather Terms in a Polynomial

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  • Subject: [mg46471] Re: [mg46448] Re: Simplify and Gather Terms in a Polynomial
  • From: Andrzej Kozlowski <akoz at>
  • Date: Fri, 20 Feb 2004 00:29:15 -0500 (EST)
  • References: <c0uu2k$e74$> <>
  • Sender: owner-wri-mathgroup at

On 19 Feb 2004, at 09:01, Adam Smith wrote:

> Manipulating an expression from one form to another is always tricky
> in Mathematica.  But here is my suggestion for this case
> In[16]:=
> x*Expand[Simplify[y*(x+x^2)/x]]
> Out[16]=
> x (y+x y)
> This is clearly an odd way to do it and only works for this specific
> case.  Perhaps some of the gurus know a more generally applicable
> approach.
> In my opinion Mathematica is not really designed to transform one form
> to another.  If I want to check whether two forms are equivalent, I
> subtract them and use Simplify or FullSimplify to confirm that their
> difference equals 0.  Sometimes it is necessary to apply things like
> Expand, PowerExpand, etc. as intermediate steps.
> Adam Smith
> sabrinacasagrande at (sabbri) wrote in message 
> news:<c0uu2k$e74$1 at>...
>> I have two equivalent polynomial expressions. In the second, which
>> should derive from the first, terms are gathered respecting to a
>> particular variable. for example:
>>  y(x+ x^2)
>> I want to make it gathered for x
>> x(y+yx)
>> How can I give this command?

It is true that Simplify are difficult to use to achieve the desired 
transformation, because of the elusive nature of "simplification". But 
as long as you restrict yourself only to polynomials then by using  
PolynomialReduce (and sometimes GroebnerBasis) together with such basic 
transformations as Expand and Factor, you should be perform essentially 
all such tasks.

Andrzej Kozlowski
Chiba, Japan

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