Question

If x+y+z=3xyz prove that x cube +y cube + z cube = 0

Answer 1

X + Y + Z is equals to 0 then X + Y is equals to minus Z
X + y whole cube is equals to minus z cube
x cube + y cube + 3 x y ( X + Y) =-z cube
x cube + y cube + 3 x y (-z) =minus Z cube
x cube + y cube - 3xyz =minus Z cube
x cube + y cube + Z cube = 3 x y z