Without expanding, prove that\( \left|\begin{array}{lll}a & a^{2} & b c \\ b & b^{2} & c a \\ c ...
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0Without expanding, prove that\( \left|\begin{array}{lll}a & a^{2} & b c \\ b & b^{2} & c a \\ c & c^{2} & a b\end{array}\right|=\left|\begin{array}{ccc}1 & a^{2} & a^{3} \\ 1 & b^{2} & b^{3} \\ 1 & c^{2} & c^{3}\end{array}\right| \)
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