Question

if a+b+c = 0 then the value of (a+b)(b+c)(c+a)/abc

Answer 1

since a+b+c=0
therefore, a+b= -c
and similarly b+c= -a
a+c= -b

Now,
(a+b)(b+c)(c+a)/abc=
(-c)(-a) (-b) /abc
-abc/abc= -1
hope it helps mate