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Inequality

Simplify: 2i...

Question

Simplify:
$\frac{2 (i - 3)}{(1 + i)^{2}}$

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Solution

Now,
$\frac{2 (i - 3)}{(1 + i)^{2}}$
$= \frac{2 (i - 3)}{2 i}$ [ Since $(1 + i)^{2} = 2 i$ ]
$= \frac{(i - 3)}{i}$
$= 1 + 3 i$ .

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