Let $a, b, c > 0$ and $\Delta = \left| \begin{gathered}
a + b\,\,b\,\,c \hfill \\
b\, + \,c\,\,c\,\,\,a \hfill \\
c + a\,\,a\,\,b \hfill \\
\end{gathered} \right| ,$ then which of the following is not correct?
Let $a, b, c > 0$ and $\Delta = \left| \begin{gathered}
a + b\,\,b\,\,c \hfill \\
b\, + \,c\,\,c\,\,\,a \hfill \\
c + a\,\,a\,\,b \hfill \\
\end{gathered} \right| ,$ then which of the following is not correct?
- A
$\Delta = -[a^3 + b^3 + c^3 - 3abc$]
- B
$\Delta\leq 0$
- C
$\Delta = 0 \Rightarrow\ a + b + c = 0$
- D
$\Delta = 0$ if $a = b = c$
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