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If D=|[a,b,c], [c,a,b], [b,c,a]| and D'=...

If `D=|[a,b,c], [c,a,b], [b,c,a]|` and `D'=|[b+c, c+a, a+b], [a+b, b+c, c+a], [c+a, a+b, b+c]|`, then prove that `D' = 2D`

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