Let A=[(x,y,z),(y,z,x),(z,x,y)], where x...

Let `A=[(x,y,z),(y,z,x),(z,x,y)]`, where x, y and z are real numbers such that `x + y + z > 0 and xyz = 2`. If `A^(2) = I_(3)`, then the value of `x^(3)+y^(3)+z^(3)` is__________.

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