Q74
If x + y + z = 0, then x3 + y3 + z3 is equal to :
A.
0
B.
3xyz
AnswerC.
D.
xyz(xy + yz + zx)
Answer: Option B
Solution
Answer: Option B
Solution:
Given,
x + y + z = 0
Cubing both side,
(x + y + z)3 = 0
x3 + y3 + z3 - 3xyz = 0 [using formula]
x3 + y3 + z3 = 3xyz