If x + y + z = 0, then find the value of x3 + y3 + z3 - 3xyz.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 0
We know, (x + y + z)3 = (x + y + z)(x2 + y2 + z2 - xy - yz - zx) + 3xyz
If x + y + z = 0, then
(x + y + z)3 = 0 + 3xyz
and (x + y + z)3 - 3xyz = 0