If a + b + c = 0, (a + b) (b + c) (c + a) equals

A. ab (a + b)

B. (a + b + c)²

C. - abc

D. a² + b² + c²

Answer: Option C

Solution(By Examveda Team)

a + b + c = 0
⇒ (a + b) = - c
(b + c) = - a
and (c + a) = - b
⇒ (a + b) (b + c) (c + a)
= (- c) × (- a) × (- b)
= - (abc)