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Byju's Answer
Standard X
Mathematics
Addition of Rational Expressions
If a+b+c=0 ...
Question
If
a
+
b
+
c
=
0
then the value of
(
a
+
b
)
(
b
+
c
)
(
c
+
a
)
a
b
c
is
A
1
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B
-1
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C
-3
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D
3
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Solution
The correct option is
A
-1
Since,
a
+
b
+
c
=
0
,
So,
a
+
b
=
−
c
,
b
+
c
=
−
a
,
c
+
a
=
−
b
So,
(
a
+
b
)
(
b
+
c
)
(
c
+
a
)
a
b
c
=
(
−
c
)
(
−
a
)
(
−
b
)
a
b
c
=
−
a
b
c
a
b
c
=
−
1
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