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 .