Identity Usage

Algebra Level 3

If a13+b13+c13=0a^{\frac{1}{3}}+b^{\frac{1}{3}}+c^{\frac{1}{3}}=0 and a×b×c=1a\times b\times c=1

Then find the value of (a+b+c)3\large(a+b+c)^{3}.

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