1-z-1-z-Where-z-is-the-complex-number-

Question Number 185371 by Mastermind last updated on 20/Jan/23

(1 - z) (1 - \bar{z}) = ?

Where z is the complex number

.

Answered by Frix last updated on 20/Jan/23

z = a + b i \land \bar{z} = a - b i

\Rightarrow

(1 - z) (1 - \bar{z}) = a^{2} - 2 a + b^{2} + 1 = {(a - 1)}^{2} + b^{2} =

= {(real (z) - 1)}^{2} + {(imag (z))}^{2}

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