       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, bÏµReals}]
>
> which should return one, I think, but doesn't.
>
> I'd be grateful for suggestions.
>
> Thanks!
> Paul
>

```

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