Question Number 185401 by Mastermind last updated on 21/Jan/23
$$\mathrm{Show}\:\mathrm{that}\:\frac{\mathrm{1}+\mathrm{z}}{\mathrm{1}−\mathrm{z}}\:+\:\frac{\mathrm{1}+\bar {\mathrm{z}}}{\mathrm{1}−\bar {\mathrm{z}}}\:=\:\frac{\mathrm{2}\left(\mathrm{1}−\mid\mathrm{z}\mid^{\mathrm{2}} \right)}{\mid\mathrm{1}−\mathrm{z}\mid^{\mathrm{2}} } \\ $$$$\mathrm{Where}\:\mathrm{z}\:\mathrm{is}\:\mathrm{a}\:\mathrm{complex}\:\mathrm{number} \\ $$$$ \\ $$$$ \\ $$$$\mathrm{Help}! \\ $$
Commented by Frix last updated on 21/Jan/23
$$\mathrm{This}\:\mathrm{is}\:\mathrm{just}\:\mathrm{a}\:\mathrm{writing}\:\mathrm{exercise}.\:\mathrm{Simply}\:\mathrm{let} \\ $$$${z}={a}+{b}\mathrm{i}\:\mathrm{and}\:\mathrm{follow}\:\mathrm{the}\:\mathrm{rules}\:\mathrm{of}\:\mathrm{complex} \\ $$$$\mathrm{numbers}. \\ $$