Let \( a, b, c, d \) be four real numbers and let \[ \Delta=\left|\...

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Let \( a, b, c, d \) be four real numbers and let
\[
\Delta=\left|\begin{array}{ccc}
2 & a+b+c+d & a b+c d \\
a+b+c+d & 2(a+b)(c+d) & a b(c+d)+c d(a+b) \\
a b+c d & a b(c+d)+c d(a+b) & 2 a b c d
\end{array}\right|
\]
then \( \Delta \) is equal to
(a) \( 2 a b c d(a+b)(c+d) \)
(b) \( 2 a b c d(a+b+c+d) \)
(c) \( (a+b)(c+d) \)
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