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If x + y + z = 0 then x3 +...

This question belongs to Arithmetic Ability Number System
Number System
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If x + y + z = 0, then x3 + y3 + z3 is equal to :

Answer & Solution
Correct Answer: Option B

Given,
x + y + z = 0
Cubing both side,
(x + y + z)3 = 0
x3 + y3 + z3 - 3xyz = 0 [using formula]
x3 + y3 + z3 = 3xyz

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3 Comments
Md. Nazmul
Md. Nazmul 4 years ago
a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)
C Obi
C Obi 7 years ago
Let x = 1; y = -2 and z = 1. Then x+y+z = 0, but x^3 + y^3 + z^3 = 10 and not 3xyz.
SARANG SHINDE
SARANG SHINDE 9 years ago
Someone correct me if I am wrong.
if x+y+z = 0 i.e. x=0, y=0, z=0
so answer would be 0 .
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