Math miscellaneousHard

Question

If z = x - i y and = p + iq , then is equal to

Options

A.1

B.-2

C.2

D.-1

Solution

z = (p + iq)³ = p(p² - 3q²) - iq(q² - 3p²)
⇒ = p² - 3q² & = q² - 3p² ⇒ = - 2

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