how to prove the identiy

a3+b3+c3 -3abc

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A3+B3+C3 -3ABC(A+B+C)(A2 +B2 +C2 -AB-BC-CA)

IF A+B+C=0 ,then

A3+B3+C3 -3ABC=0*(A2 +B2 +C2 -AB-BC-CA)=A3+B3+C3 -3ABC proved

or A3+B3+C3 -3ABC=0

= A3+B3+C3 =3ABC PROVED

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