Question

x+y+z=0show that x3+y3+z3=3xyz​

Answer 1

Answer:

Step-by-step explanation:

x+y+z = 0

x+y= -z

Cubing both sides

(x+y)³  =(-z)³

x³+y³+3xy(x+y)  = -z³

x³+y³+z³ = -3xy(-z)

x³+y³+z³ =3xyz