a = 10; k = 0; [Alpha] = 10; i = 12; f[x_, y_, z_] = x^i + y^i + z^i - (x^(i/2) + y^(i/2) + z^(i/2))^2 + [Alpha] (x^(i/2) + y^(i/2) + z^(i/2));
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