If a+b+c=0 then show that a
Answers
Answered by
2
If
a
+
b
+
c
=
0
Then,
a
=
−
b
−
c
=
−
(
b
+
c
)
Therefore,
a
2
−
b
c
=
(
−
(
b
+
c
)
)
2
−
b
c
=
(
b
+
c
)
2
−
b
c
=
b
2
+
c
2
+
2
b
c
−
b
c
=
b
2
+
c
2
+
b
c
b
2
−
c
a
=
b
2
−
c
(
−
(
b
+
c
)
)
=
b
2
+
c
2
+
b
c
c
2
−
a
b
=
c
2
−
(
−
(
b
+
c
)
b
)
=
c
2
+
b
2
+
b
c
So,
a
2
−
b
c
=
b
2
−
c
a
=
c
2
−
a
b
Q
E
D
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