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Ferrari's Identity

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Ferrari's identity is the algebraic identity

(a^2+2ac-2bc-b^2)^4+(b^2-2ab-2ac-c^2)^4+(c^2+2ab+2bc-a^2)^4 =2(a^2+b^2+c^2-ab+ac+bc)^4.

See also

Algebraic Identity, Diophantine Equation--4th Powers

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References

Berndt, B. C. Ramanujan's Notebooks, Part IV. New York: Springer-Verlag, pp. 96-97, 1994.Ferrari, F. "Équation indéterminée." l'Intermédiaire Math. 16, 82-83, 1909.

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Ferrari's Identity

Cite this as:

Weisstein, Eric W. "Ferrari's Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FerrarisIdentity.html

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