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Algebraic Identity


An algebraic identity is a mathematical identity involving algebraic functions. Examples include the Euler four-square identity, Fibonacci identity, Lebesgue identity, and the curious identity

 (1679616a^(16)-66096a^(10)b^6+153a^4b^(12))^3+(-1679616a^(16)-559872a^(13)b^3-27216a^(10)b^6+3888a^7b^9+63a^4b^(12)-3ab^(15))^3+(1679616a^(15)b+279936a^(12)b^4-11664a^9b^7-648a^6b^(10)+9a^3b^(13)+b^(16))^3 
=b^(48)

due to Y. Kohmoto.


See also

Algebraic Function, Quarter Squares Rule

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Cite this as:

Weisstein, Eric W. "Algebraic Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AlgebraicIdentity.html

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