What is the value of the determinant \[\left| \begin{matrix} 1 & bc & a(b+c) \\ 1 & ca & b(c+a) \\ 1 & ab & c(a+b) \\ \end{matrix} \right|?\]

What is the value of the determinant \[\left| \begin{matrix} 1 &

1.	What is the value of the determinant \[\left\| \begin{matrix} 1 & bc & a(b+c) \\ 1 & ca & b(c+a) \\ 1 & ab & c(a+b) \\ \end{matrix} \right\|?\]
A.	\[0\]
B.	\[abc\]
C.	\[ab+bc+ca\]
D.	\[abc\,(a+b+c)\]
Answer» B. \[abc\]

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What is the value of the determinant \[\left| \begin{matrix} 1 & bc & a(b+c) \\ 1 & ca & b(c+a) \\ 1 & ab & c(a+b) \\ \end{matrix} \right|?\]

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