x³+y³+z³=
..........................
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According to Fermat's Last Theorem, there exists no integer (x,y,z) > 1 and n > 2 which satisfies the relation xⁿ + yⁿ = zⁿ.
so the equation x³ = y³ + z³ will have no solutions in positive integers with (x,y,z) greater than 1.
So the only possible triplets (x,y,z) are (1,0,1) and (1,1,0).
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