$\left| {\,\begin{array}{*{20}{c}}{b + c}&{a - b}&a\\{c + a}&{b - c}&b\\{a + b}&{c - a}&c\end{array}\,} \right| = $
$\left| {\,\begin{array}{*{20}{c}}{b + c}&{a - b}&a\\{c + a}&{b - c}&b\\{a + b}&{c - a}&c\end{array}\,} \right| = $
- A
${a^3} + {b^3} + {c^3} - 3abc$
- B
$3abc - {a^3} - {b^3} - {c^3}$
- C
${a^3} + {b^3} + {c^3} - {a^2}b - {b^2}c - {c^2}a$
- D
$(a+b+c)(a^2+b^2+c^2+ab+bc+ca)$
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