If a + b + c = 0, then the value of a + b + b + c + c +

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If a + b + c = 0, then the value of
a + b + b + c + c + a a + b + c is :
c a b b + c c + a a + b

1. 8
2. –3
3. 9
4. 0

Correct Option: C

a + b + c = 0
⇒ a + b = – c ; b + c = – a , c + a = – b

∴	a + b	+	b + c	+	c + a
	a		b		c

= – 1 – 1 – 1 = – 3

a	+	b	+	c
b + c	+	c + a	+	a + b

= – 1 – 1 – 1 = – 3
∴ Expression = (– 3) × (– 3) = 9