Question

Without expanding the determinant, prove that $\left|\begin{array}{ccc}a&a^{2}&bc\\b&b^{2}&ca\\c&c^{2}&ab\end{array}\right|$ = $\left|\begin{array}{ccc}1&a^{2}&a^{3}\\1&b^{2}&b^{3}\\1&c^{2}&c^{3}\end{array}\right|$

Answer 1

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