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" 15"4" fa "x,y,z" faft "x" is and "|[x,x^(2),1+x^(3)],[y,y^(2),1+y^(3)],[z,z^(2),1+z^(3)]|=0

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If x, y, z are all distinct and |(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(3))|=0 then value of x y z is :

|(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(2))|=0,x!=y!=zimplies1+xyz=

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If x,y,z are different and Delta=|{:(x,x^2,1+x^3),(y,y^2,1+y^3),(z,z^2,1+z^3):}| =0 then show that 1+xyz=0

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