If `x + y + z = 0`, then find `(x + y)^3 + (y + z)^3 +(z + x)^3`.

If x + y + z = 0 , then what is (y+z-x)^(3) + (z+x-y)^(3) + (x+y-z)^(3) equal to ?

If (x + y)/2 = (y+z)/3 = (z + x)/4 , then find x : y: z .

Let x, y, z be non-zero real numbers such that x/y + y/z + z/x = 7 and y/x + z/y + x/z = 9 , then (x^3)/y^3 + y^3/z^3 + z^3/x^3 - 3 is equal to

What is the value of ((x - y)^3 + (y - z)^3 + (z - x)^3)/(9(x - y)(y - z)(z - x)) ?

If 2x = 3y = 4z, find x:y: z.

(x + y) ^ (3) + (y + z) ^ (3) + (z + x) ^ (3) -3 (x + y) (y + z) (z + x)

If x+y+z=0 then find the value of x^(3)+y^(3)+z^(3)

Find the value of (( x -y )^3 + ( y - z )^3 + ( z - x )^3 )/ (9 ( x - y )( y - z ) ( z - x )) 1 . 0 2 . 1/9 3 . 1/3 4. 1

If (x)/(y)+(y)/(z)+(z)/(x)=0, " then find "[((x)/(y))^(3)+((y)/(z))^(3)+((z)/(x))^(3)]