Question

If x+y+z = 0 then x cube + y cube + z cube = 3xyz

Answer 1

Answer:

true

Step-by-step explanation:

x+y+z=0,  

x+y=-z,

cubing on both sides,

(x+y)³=(-z)³,

x³+y³+3xy(x+y)=-z³,{since x+y=-z},

x³+y³-3xyz+z³=0,

x³+y³+z³=3xyz