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Year 12 Maths Extension 2 Complex Numbers

De Moivres Theorem

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Questions
Question 1
12825

By expressing \({\rm{ }}1 + i{\rm{ }}\)  and  \({\rm{ }}1 - i{\rm{ }}\)  in the modulus/argument form and applying De Moivre's theorem then \({\rm{ }}{\left( {1 + i} \right)^3} - {\left( {1 - i} \right)^3} = \,\,\)?

\(4i\)

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