if ![\left[\begin{array}{ccc}a&a²&1+a³\\b&b²&1+b³\\c&c²&1+c³\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26amp%3Ba%C2%B2%26amp%3B1%2Ba%C2%B3%5C%5Cb%26amp%3Bb%C2%B2%26amp%3B1%2Bb%C2%B3%5C%5Cc%26amp%3Bc%C2%B2%26amp%3B1%2Bc%C2%B3%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}a&a²&1+a³\\b&b²&1+b³\\c&c²&1+c³\end{array}\right]")
=0 and then show that abc= -1.
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