Find the number of triples of integersa<b<cwitha≥−10, such thata(b−c)^3+b(c−a)^3+c(a−b)^3=0.

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- Feb 18th 2013, 03:51 AMgeniusgarvilfind those tripletsFind the number of triples of integers
*a*<*b*<*c*with*a*≥−10, such that*a*(*b*−*c*)^3+*b*(*c*−*a*)^3+*c*(*a*−*b*)^3=0. - Feb 18th 2013, 03:55 AMPlatoRe: find those triplets