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If |(x, x^2, x^3 +1), (y, y^2, y^3+1), (...

If `|(x, x^2, x^3 +1), (y, y^2, y^3+1), (z, z^2, z^3+1)|` = 0 and x ,y and z are not equal to any other, prove that, xyz = -1

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