If `x= a-b, y=b-c`, & `z= c-a`, then find the value of `x^3+y^3+z^3`

If a^x=b ,b^y=c ,c^z=a , then find the value of x y zdot

If a^x=b ,b^y=c ,c^z=a , then find the value of x y zdot

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=1, y=2 and z=3 , find the value of: x^3-z^3+y^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 = 2, y = 3 and z = -1, find the values of : (2x-3y+4z)/(3x-z)

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=0, then find the value of (a^x)^(y z)+(a^y)^(z x)+(a^z)^(x y)= (a)3 (b) 2 (c)1 (d) 0

If x=c y+b z ,y=a z+c x ,z=x+a y ,w h e r e .x ,y ,z are not all zeros, then find the value of a^2+b^2+c^2+2a b c dot

If log_(theta)x-log_(theta)y= a, log_(theta)y-log_(theta)z=b and log_(theta)z- log_(theta)x=c , then find the value of (x/y)^(b-c) x(y/z)^(c-a)x(z/x)^(a-b)