\[\left| \,\begin{matrix} 1 & 1 & 1 \\ a & b & c \\ {{a}^{3}} & {{b}^{3}} & {{c}^{3}} \\ \end{matrix}\, \right|=\] [AMU 1979; RPET 1990; DCE 1999]

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

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

\[\left| \,\begin{matrix} 1 & 1 & 1 \\ a & b & c \\

1.	\[\left\| \,\begin{matrix} 1 & 1 & 1 \\ a & b & c \\ {{a}^{3}} & {{b}^{3}} & {{c}^{3}} \\ \end{matrix}\, \right\|=\] [AMU 1979; RPET 1990; DCE 1999]
A.	\[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc\]
B.	\[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}+3abc\]
C.	\[(a+b+c)(a-b)(b-c)(c-a)\]
D.	None of these
Answer» D. None of these

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\[\left| \,\begin{matrix} 1 & 1 & 1 \\ a & b & c \\ {{a}^{3}} & {{b}^{3}} & {{c}^{3}} \\ \end{matrix}\, \right|=\] [AMU 1979; RPET 1990; DCE 1999]

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