Verify that x3+ y3+ z3- 3xyz = 12((x + y + z)[(x−y)2 + (y−z)2 + (z−x)2]

Verify that x3+ y3+ z3- 3xyz = 12((x + y + z)[(x−y)2 + (y−z)2 +

1.	Verify that x3+ y3+ z3- 3xyz = 12((x + y + z)[(x−y)2 + (y−z)2 + (z−x)2]
Answer» Verify that $x^{3}$ + $y^{3}$ + $z^{3}$ - 3xyz = $\frac{1}{2}$ ((x + y + z)[ ${(x - y)}^{2}$ + ${(y - z)}^{2}$ + ${(z - x)}^{2}$ ]