If x + y + z = 0, then x3 + y3 + z3 + 3xyz is equal to = ?
  • 10
  • 26xyz
  • 312xyz
  • 4xyz
Answer:- 1
Explanation:-

Solution:
As we know
a3 + b3 + c3 + 3abc2 + b2 + c2 - ab - bc - ca)(a + b + c)
When, a + b + c = 0
Then a3 + b3 + c3 + 3abc = 0
When, x + y + z = 0
x3 + y3 + z3 = 3xyz
x3 + y3 + z3 + 3xyz
= 3xyz + 3xyz
= 6xyz

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