If a + b + c = 0, then a 3 + b 3 + c 3 = ?

Question

Philoid · Accepted Answer

The correct answer is D

It is given that: a + b + c = 0

We know,

(a + b + c)³ = a³ + b³ + c³ + 2(ab + bc + ac)(a + b + c)

Put a + b + c = 0 in the above equation we get,

Then, a³ + b³ + c³ = 3 abc

Hence, option D is correct

If a + b + c = 0, then a3 + b3 + c3 = ?