Re: Simplify
- To: mathgroup at smc.vnet.net
- Subject: [mg58677] Re: Simplify
- From: dh <dh at metrohm.ch>
- Date: Thu, 14 Jul 2005 02:49:02 -0400 (EDT)
- References: <db2g9i$djm$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi Paul,
a square root has in general 2 solutions. Therfore, if you replace your
expression by one you loose the solution -1.
There is a function that does what you want: PowerExpand.
However, this function does potentially unsave operations by making
assumptions about its arguments. Using PowerExpand, you better check if
the answer is what you want.
sincerely, Daniel
paulvonhippel at yahoo wrote:
> I'm having some trouble getting an expression to simplify in an obvious
> way. (There seems to be a long tradition of users posting to this group
> with similar troubles.)
>
> The expression is
>
> poly = p (p - 1) b^2 + s^2
> prod = Sqrt [poly] Sqrt[1/poly]
> Simplify[prod, {0 < p < 1, s > 0, bϵReals}]
>
> which should return one, I think, but doesn't.
>
> I'd be grateful for suggestions.
>
> Thanks!
> Paul
>