1.

\left.\begin{array}{ccc}{(b+c)^{2}} & {a^{2}} & {a^{2}} \\ {b^{2}} & {b^{2}} & {(c+a)^{2}} & {b^{2}} \\ {c^{2}} & {c^{2}} & {(a+b)^{2}}\end{array}\right|=2 a b c(a+b+c)^{3}

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