Expand the numerator using formula (a + b)² = a² + b² + 2ab.

             (Evaluate power: )

                   (Multipl: )

             (Substitute the imaginary unit value )

                    (Product of two different signs is negative)

                            (Subtract: 100 1 = 99)

Multiply the numerator and denominator by the conjugate of the denominator .

Conjugate of is .

Multiply the numerator and denominator by .

          (Using multiply formula: )

          (Evaluate powers: )

Multiply the numerator using FOIL method.

Multiply: .

Combine like terms using distributive property: .

            (Add: 99 + 80 = 179)

   (Substitute the imaginary unit value )

            (Product of two different signs is negative)

            (Product of two same signs is positive)

Apply commutative property of addition: a + b = b + a.

                    (Subtract: 396 20 = 376)

                   (Add: 16 + 1 = 17)

                  (Write standard division form: )

The simplified expression is .