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Prove that |{:(1+a^(2)-b^(2),2ab,-2b),...

Prove that
`|{:(1+a^(2)-b^(2),2ab,-2b),(2ab,1-a^(2)+b^(2),2a),(2b,-2a,1-a^(2)-b^(2)):}|=(1+a^(2)+b^(2))^(3)`

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