\[\left| \,\begin{matrix} b+c & a-b & a \\ c+a & b-c & b \\ a+b & c-a & c \\ \end{matrix}\, \right|=\] [MP PET 1990]

\[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-{{a}^{2}}b-{{b}^{2}}c-{{c}^{2}}a\]

\[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc\]

\[3abc-{{a}^{3}}-{{b}^{3}}-{{c}^{3}}\]

\[\left| \,\begin{matrix} b+c & a-b & a \\ c+a & b-c & b

1.	\[\left\| \,\begin{matrix} b+c & a-b & a \\ c+a & b-c & b \\ a+b & c-a & c \\ \end{matrix}\, \right\|=\] [MP PET 1990]
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.	\[3abc-{{a}^{3}}-{{b}^{3}}-{{c}^{3}}\]
Answer» C. \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-{{a}^{2}}b-{{b}^{2}}c-{{c}^{2}}a\]

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\[\left| \,\begin{matrix} b+c & a-b & a \\ c+a & b-c & b \\ a+b & c-a & c \\ \end{matrix}\, \right|=\] [MP PET 1990]

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