How do you simplify $((2i)/(1+i))^2$ ?

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Answer 1 · 2016-08-14T07:20:49

$((2i)/(1+i))^2 = 2i$

$((2i)/(1+i))^2 = ((2i)^2)/(1+i)^2=(2^2i^2)/(1+2i+i^2)=(-4)/(2i)$

$=(-2)/i=(-2i)/i^2=(-2i)/(-1)=2i$

How do you simplify ((2i)/(1+i))^2((2i)/(1+i))^2 ?