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Prove that |[a^2,2ab,b^2],[b^2,a^2,2ab],...

Prove that `|[a^2,2ab,b^2],[b^2,a^2,2ab],[2ab,b^2,a^2]|=(a^3+b^3)^2`

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Prove: |[a^2, 2ab,b^2],[b^2,a^2, 2ab],[2ab,b^2,a^2]|=(a^3+b^3)^2

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