Dear Doctor......
It took me exact ten seconds to solve this:
The Solution is :

Multiply.
x^2 + ix - ix - i^2
x^2 + 1

Is that the best you got ? I did this level of math when I was 12...

And I will not be contacting you, since I have a team which I am working on, and I am busy helping people in the forum , rather than Bull..........