Three real numbers `x,y,z` are such that `x^(2)+6y=-17,y^(2)+4z=1` and `z^(2)+2x=2` .Then the value of `x^(3)+y^(3)+z^(3)` is equal to

If x = 2a- 1, y = (2a - 2) and z =3 - 4a, then the value of x ^(3) + y ^(3) + z ^(3) will be :

If x^(2)+y^(2)+z^(2)=1 , where x,y,z in R^(+) then greatest value of x^(2)y^(3)z^(4) is

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__________.

Let x,y,z be real numbers satisfying x+y+z=3,x^(2)+y^(2)+z^(2)=5 and x^(3)+y^(3)+z^(3)=7 then the value of x^(4)+y^(4)+z^(4) is

If x + y + z = 6 and x^2 + y^2 + z^2= 20 then the value of x^3 + y^3 + z^3 - 3xyz is