Prove that : \[ \mathrm{R}_{e}\left(z_{1} z_{2}\right)=\mathrm{R}_{...

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Prove that :
\[
\mathrm{R}_{e}\left(z_{1} z_{2}\right)=\mathrm{R}_{e}\left(z_{1}\right) \mathrm{R}_{e}\left(z_{2}\right)-\mathrm{I}_{m}\left(z_{1}\right) \mathrm{I}_{m}\left(z_{2}\right)
\]
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