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Re: Simplify expression
*To*: mathgroup at smc.vnet.net
*Subject*: [mg57815] Re: Simplify expression
*From*: Bill Rowe <readnewsciv at earthlink.net>
*Date*: Thu, 9 Jun 2005 05:17:51 -0400 (EDT)
*Sender*: owner-wri-mathgroup at wolfram.com
On 6/8/05 at 3:21 AM, mbekkali at gmail.com (Mukhtar Bekkali) wrote:
>I need to solve system of equations f1[x1,x2]=0,f2[x1,x2]==0,
>however, some elements of these equation have the form
>Sqrt[(x1^2-x2^2)^2]. It takes really long time to solve. If,
>however, I manually simplify those elements, for example,
>Sqrt[(x1^2-x2^2)^2]=x1^2-x2^2 then solve is fast. Therefore, the
>question is how I can force mathematica simplify expressions of
>this sort (another elements are fractions that depend on x1 and x2
>in Mathematica's mind but in reality they cancel out and fraction
>becomes a number). I do not want to use FindRoot since I want to
>see all solutions. Thanks, Mukhtar Bekkali
I think PowerExpand is what you are looking for, i.e.
PowerExpand[Sqrt[(x1^2-x2^2)^2]] yields
x1^2 - x2^2
Solve doesn't use PowerExpand as one of the transforms to try since it will not yield valid results for all possible conditions.
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