Q438
If a + b + c = 0, (a + b) (b + c) (c + a) equals
A.
ab (a + b)
B.
(a + b + c)2
C.
- abc
AnswerD.
a2 + b2 + c2
Answer: Option C
Solution
Answer: Option C
Solution:
a + b + c = 0⇒ (a + b) = - c
(b + c) = - a
and (c + a) = - b
⇒ (a + b) (b + c) (c + a)
= (- c) × (- a) × (- b)
= - (abc)