Answer
$-\frac{1}{2}-\frac{5}{2}i$
Work Step by Step
$\frac{2}{i+1}-\frac{3}{1-i}=\frac{2(1-i)-3(1+i)}{(1+i)(1-i)}=\frac{-1-5i}{1+1}=$$-\frac{1}{2}-\frac{5}{2}i$
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