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Question Number 185401 by Mastermind last updated on 21/Jan/23

$$\mathrm{Show}\mathrm{that}\frac{1+\mathrm{z}}{1-\mathrm{z}}+\frac{1+\overline{\mathrm{z}}}{1-\overline{\mathrm{z}}}=\frac{2(1-\mid \mathrm{z}{\mid }^2)}{\mid 1-\mathrm{z}{\mid }^2}$$$$\mathrm{Where}\mathrm{z}\mathrm{is}\mathrm{a}\mathrm{complex}\mathrm{number}$$$$$$$$$$$$\mathrm{Help}!$$

Commented by Frix last updated on 21/Jan/23

$$\mathrm{This}\mathrm{is}\mathrm{just}\mathrm{a}\mathrm{writing}\mathrm{exercise}.\mathrm{Simply}\mathrm{let}$$$$z=a+b\mathrm{i}\mathrm{and}\mathrm{follow}\mathrm{the}\mathrm{rules}\mathrm{of}\mathrm{complex}$$$$\mathrm{numbers}.$$

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