If \( z_{1}=(1+i) \) and \( z_{2}=(-2+4 i) \), prove that \( \operatorname{Im}\left(\frac{z_{1} ...

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If \( z_{1}=(1+i) \) and \( z_{2}=(-2+4 i) \), prove that \( \operatorname{Im}\left(\frac{z_{1} z_{2}}{\bar{z}_{1}}\right)=2 \).
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