\( \left|\begin{array}{lll}\text { a } & a^{3} & a^{4}-1\end{array}\right| \) If \( a, b, c \) a...

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\( \left|\begin{array}{lll}\text { a } & a^{3} & a^{4}-1\end{array}\right| \)
If \( a, b, c \) are all different and
\( \begin{array}{lll}b & b^{3} & b^{4}-1 \\ c & c^{3} & c^{4}-1\end{array} \mid=0 \) then find the value of \( a b c(a b+b c+c a)-(a+b+c) \)
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