Multiply by the conjugate of the denominator
over itself, which is just a fraction equal to
1 and  so it will not change the value:

 

Indicate the multiplications of the numerators and
denominators:



Use the "FOIL" process to multiply the binomials
in the top and bottom.

 

Combine like terms.  Notice that the middle terms cancel
in the bottom, but add together in the top:



We can always replace i2 by -1



Simplify by changing the -(-1)'s to +1's



Combine like terms



Write as two fractions, each with the denominator 5.



Edwin