To simplify this expression you must get the imaginary unit out of the denominator. In order to do this, use the fact that the product of two conjugates is the difference of two squares.
which is allowed because anything divided by itself is equal to 1 and anything multiplied by 1 is equal to that same anything.
Use FOIL on the numerators and the difference of two squares rule on the denominators (remembering that )
John
My calculator said it, I believe it, that settles it