$$(1+i)^{-2}+(1-i)^{-2}$$
$0$
$$-\frac{1}{2}i+\left(1-i\right)^{-2}$$
$$-\frac{1}{2}i+\frac{1}{2}i$$
$$0$$
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$$Re(-\frac{1}{2}i+\left(1-i\right)^{-2})$$
$$Re(-\frac{1}{2}i+\frac{1}{2}i)$$
$$Re(0)$$
