The value of the determinant $\left| {\,\begin{array}{*{20}{c}}1&a&{b + c}\\1&b&{c + a}\\1&c&{a + b}\end{array}\,} \right|$is

  • A

    $a + b + c$

  • B

    ${(a + b + c)^2}$

  • C

    $0$

  • D

    $1 + a + b + c$

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