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Using properties of determinants, prove the following : $ \begin{bmatrix} (b+c)^2 & a^2 & a^2 \\ b^2 & (c+a)^2 & b^2 \\ c^2 & c^2 & (a+b)^2 \end{bmatrix} = 2abc(a+b+c)^33 - 3abc. $
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