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## [Axiom-developer] Re: A Collection of Algebraic Identities

**From**: |
TimDaly |

**Subject**: |
[Axiom-developer] Re: A Collection of Algebraic Identities |

**Date**: |
Sun, 7 Jun 2009 19:20:03 -0700 (PDT) |

**User-agent**: |
G2/1.0 |

On Jun 4, 12:35 pm, address@hidden wrote:
>* Hello all,*
>
>* Here's a nice identity:*
>
>* (p+q)^4 + (r-s)^4 = (p-q)^4 + (r+s)^4*
>
>* where {p,q,r,s} = {a^7+a^5-2a^3+a, 3a^2, a^6-2a^4+a^2+1, 3a^5}*
>
>* For similar stuff, you may be interested in "A Collection of Algebraic*
>* Identities":*
>
>* http://sites.google.com/site/tpiezas/Home*
>
>* It's a 200+ page book I wrote and made available there. It starts*
>* with the basics with 2nd powers and goes up to 8th and higher powers.*
>* Enjoy.*
>
>* - Titus*
on page http://sites.google.com/site/tpiezas/002
In the section on Euler you state:
(x+1/x)^2 + (y+1/y)^2 = z^2
but you never give a value for z