Question

Verify that :

x3 + y3 + z3 - 3xyz = 1/2(x + y + z)[(x - y)2 + (y - z)2 + (z - x)2]

Answer 1

It is known that,

x3+ y3 + z3- 3xyz = 1/2(x + y + z)[(x - y)2 + (y - z)2 + (z - x)2]