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

By the using multiplication formula:
.

Evaluate powers:
.

Multiply the numerator using FOIL method
\
(Multiply:
)
(Multiply:
)
Combine like terms using distributive property:
.

(Subtract: 8
3 = 5)
(Substitute the imaginary unit value
)
(Product of two same signs is positive)
Apply commutative property of addition: a + b = b + a.
\
(Add: 6 + 4 = 10 and 16 + 9 = 25)
(Write standard division form:
)
(Divide:
)
The simplified expression is
.