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If a + b + c = 0 , prove that a^(4) ...

If `a + b + c = 0 `,
prove that
`a^(4) + b^(4) + c^(4) = 2(b^(2)c^(2)+c^(2)a^(2)+a^(2)b^(2)) = 1//2 (a^(2) + b^(2) + c^(2))^(2)`

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