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Simplify 3/1+i - 2/2+i + 2/1-i

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\(\frac{3}{1 + i} - \frac{2}{2 - i} + \frac{2}{1 - i} \)

\(= \frac{3(1 + i)}{2} - \frac{2(2 + i)}{5} + \frac{2(1 + i)}{2} \)

\(= \frac{3}{2} - \frac{4}{5} + 1 + i (\frac{-3}{2} - \frac{2}{5} + 1)\)

\(= ​​\frac{17 - 9i}{10} \)

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