If `x+y+z=1,x y+y z+z x=-1` and `x y z=-1,` find the value of `x^3+y^3+z^3dot`

If x+y+z=1,\ x y+y z+z x=-1\ \ a n d\ x y z=-1, find the value of x^3+y^3+z^3

If x+y+z=8\ \ a n d\ \ \ x y+y z+z x=20 , find the value of x^3+y^3+z^3-3x y z

If x=3, y=2 and z=-1 , then the value of (x^3+y^3+1)/(y^3-z^3) is

If A=[(x,y,z),(y,z,x),(z,x,y)] and A^3=I_3 and xyz=2 and x+y+z gt 0 find the value of x^3+y^3+z^3 is

If x+y+z=12 and x^2+y^2+z^2=96 and 1/x+1/y+1/z=36 , then find the value of x^3+y^3+z^3

x+y-z=1 3x+y-2z=3 x-y-z=-1

If x > y > z >0, then find the value of cot^(-1)(x y+1)/(x-y)+cot^(-1)(y z+1)/(z y-z)+cot^(-1)(z x+1)/(z-x)

If x > y > z >0, then find the value of cot^(-1)(x y+1)/(x-y)+cot^(-1)(y z+1)/(z y-z)+cot^(-1)(z x+1)/(z-x)

If x > y > z >0, then find the value of cot^(-1)((x y+1)/(x-y))+cot^(-1)((y z+1)/(z y-z))+cot^(-1)((z x+1)/(z-x))