(a+b+c)(a+b-c)(a+c-b)(b+c-a)/16

By Shalosh B. Ekhad and Doron Zeilberger

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(Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger)

Written: Jan. 20, 2014

This math-bite was inspired by the excellent MAA invited talk by William Dunham, given on Jan. 18, 2014, at the JMM at Baltimore, where I was astonished on how such great people as Hero, Newton, Euler, and last-but-not least, the great inventor Bernard (`Barney') Oliver, gave complicated proofs to this utter triviality. By analogy, I am sure that all the human-generated mathematics published today, by great people like, say, Andrew Wiles and Yitang Zhang, would be considered utterly trivial in a hundred years. Our only hope at non-trivial mathematics is to use computers!

Personal Journal of Shalosh B. Ekhad and Doron Zeilberger