Question

Verify that x³ + y³ + z³ - 3xy = 1/2 ( x+y+z) [ ( x-y)² + ( y - z )² ( z - x)²​

Answer 1

Answer:

Using the formula :

x^3 +y^3+z^3 - 3xyz = (x+y+z)(x^2 +y^2 + z^2 - xy - yz -zx)