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)
This Question Belongs to Arithmetic Ability >> Number System
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