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1. If x + y + z = 0, then x3 + y3 + z3 is equal to :
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