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Let a, b, c are real …

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Let a, b, c are real numbers not all of them are equal prove that if a + b + C is equal to zero then a square + a b + b square is equal to b square + BC + c square is equal to C square + CA + a square .prove the converse of a square +a b + b square is equal to b square + BC + c square is equal to C square + CA + a square then a + b + C is equal to zero.
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