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Mathematics
Mathematics
Problem
If
a
,
b
a, b
a
,
b
and
c
c
c
are distinct and
D
=
D =
D
=
b
c
a
c
a
b
a
b
c
, then the square of the determinant of its cofactors is divisible by a.
(
a
2
+
b
2
+
c
2
)
2
(a^2 + b^2 + c^2)^2
(
a
2
+
b
2
+
c
2
)
2
b.
(
a
b
+
b
c
+
c
a
)
2
(ab + bc + ca)^2
(
ab
+
b
c
+
c
a
)
2
c.
(
a
+
b
+
c
)
2
(a + b + c)^2
(
a
+
b
+
c
)
2
d.
(
a
+
b
+
c
)
4
(a + b + c)^4
(
a
+
b
+
c
)
4
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