Question

If a + b + c = 0, then a3 + b3 + c3 – 3ab = …………………………….​

Answer 1

Answer:

By assumption a^3+b^3+c^3=3abc

so the left hand side is 0. ...

Therefore (a-b)^2 + (b-c)^2 + (c-a)^2 =0 so

a=b=c.

So either a+b+c=0 or a=b=c.