Verified answer

Answer:

x³+y³+z³ = 3xyz

Step-by-step explanation

Given : x+y+z = 0

To prove : x³+y³+z³=3xyz

Proof : Using identify :

x³+y³+z³-3xyz = (x+y+z) (x²+y²+z²xy-yz-zx)

x³+y³+z³-3xyz = 0.(x²+y²+z²xy-yz-z)

x³+y³+z³-3xyz = 0

Therefore, x³+y³+z³ =3xyz

hence,

Answer:

Thnx

Step-by-step explanation:

tnx.