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If (a+ib)(c+id)(e+if)(g+ih) = A + iB, th...

If `(a+ib)(c+id)(e+if)(g+ih) = A + iB`, then show that
`(a^(2) + b^(2))(c^(2) + d^(2))(e^(2) + f^(2)) (g^(2) + h^(2)) = A^(2) + B^(2)`

Answer

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  • |((h+c)^(2),a^(2),a^(2)),(b^(2),(c+a)^(2),b^(2)),(c^(2),c^(2),(a+b)^(2))|=

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