If \( a, b \) and \( c \) are distinct and \( D=\left|\begin{array}{lll}a & b & c \\ b & c & a \...

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If \( a, b \) and \( c \) are distinct and \( D=\left|\begin{array}{lll}a & b & c \\ b & c & a \\ c & a & b\end{array}\right| \), then the square of the determinant of its cofactors is divisible by
(a) \( \left(a^{2}+b^{2}+c^{2}\right)^{2} \)
(b) \( (a b+b c+c a)^{2} \)
(c) \( (a+b+c)^{2} \)
(d) \( (a+b+c)^{4} \)
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