Mathematics
If x + y + z = 0, show that x3 + y3 + z3 = 3xyz
Polynomials
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Answer
(x + y + z)3 = x3 + y3 + z3 - 3xyz
Given that x + y + z = 0
= (0)3 = x3 + y3 + z3 - 3xyz
⇒ 3xyz = x3 + y3 + z3
Hence proved
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