Question

Prove the following identities
I a b c
11. a-b b-c c-a=a³ + b3 + c3 – 3abc.
16+c cta a+bl



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Answer 1

Answer:

It’s not required that a=b=c for this identity to hold true.

As we know

a3 +b3 + c3 – 3abc = (a+b+c) (a2 + b2 + c2 – ab – bc – ca)

If a+b+c = 0 , then your given statement is true

Also if a=b=c then either all are positive numbers or all should be negative numbers which cannot sum upto zero.

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