Question

Complete the algebraic identity : x3 + y3 + z3 – 3xyz​

Answer 1

Answer:

Solution : We know that x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx). If x + y + z = 0, then x3 + y3 + z3 – 3xyz = 0 or x3 + y3 + z3 = 3xyz.