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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