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Mathematics
Problem
The determinant
∣
a
2
a
2
−
(
b
−
c
)
2
b
c
b
2
b
2
−
(
c
−
a
)
2
c
a
c
2
c
2
−
(
a
−
b
)
2
a
b
∣
\begin{vmatrix} a^2 & a^2-(b-c)^2 & bc \\ b^2 & b^2-(c-a)^2 & ca \\ c^2 & c^2-(a-b)^2 & ab \end{vmatrix}
a
2
b
2
c
2
a
2
−
(
b
−
c
)
2
b
2
−
(
c
−
a
)
2
c
2
−
(
a
−
b
)
2
b
c
c
a
ab
is
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