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The value of $$\begin{bmatrix}a & b & c \\b + c & c + a & a + b \\a^2 &b^2 & c^2 \\ \end{bmatrix}$$ is
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$$-(a - b)(b - c)(c - a)(a + b + c)$$
$$(a - b)(b - c)(c - a)(a + b + c)$$
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