Question

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

Answer 1

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

Explanation:

`((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`