1. If a + b + c = 0 then (a + b)(b + c)(c + a) =?
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Explanation:
a+b+c=0
then
a+b= -c
b+c= -a
c+a= -b
so,
(a+b)(b+c)(c+a)
=(-c)×(-a)×(-b)
= -abc
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