Question

If a + b + c = 0, then a3+ b3+ c3=? a.0 b. abc c. 3abc d. 2abc

Answer 1

Answer:

Answer...................opt C. 3abc

Answer 2

Answer:

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

[using identity, a3+b3 + c3 – 3 abc = (a + b + c)(a2+b2+c2 –ab–bc-ca)] = 0 + 3abc [∴ a + b + c = 0]

a3+b3 + c3 = 3abc.