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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