If(a+b+c)=0,prove that:-a³+b³+c³=3abc

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Prove that a³ + b³ + c³ - 3abc = 1/2(a + b + c) {(a-b)² + (b-c)² + (c-a)²)} Prove that a³ + b³ + c³ - 3abc = 1/2(a + b + c) {(a-b)² + (b-c)² + (c-a)²)}
if a³- b³ - C³ - 3abc = 0 then if a³- b³ - C³ - 3abc = 0 then