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Problem with Simplify with Assumptions

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  • Subject: [mg131388] Problem with Simplify with Assumptions
  • From: "Dave Snead" <dsnead6 at>
  • Date: Wed, 3 Jul 2013 04:55:45 -0400 (EDT)
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I'm trying to simplify some expression with assumptions.
When I input
Simplify[x^2 + y^2 + z^2, p^2 == x^2 + y^2 + z^2]
the output is
x^2 + y^2 + z^2
(which fails to simplify).

But if I change the symbol names from x,y,z to a,b,c, i.e.,
Simplify[a^2 + b^2 + c^2, p^2 == a^2 + b^2 + c^2]
the output is
(it simplifies!).

How do I get Simplify to always implement this latter behavior irrespective of the symbol names?

Thanks in advance,
Dave Snead

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