Multiply the numerator and denominator by the conjugate of the denominator . Conjugate of
is
.
Multiply the numerator and denominator by .
=
Multiply the complex numbers using FOIL method
\=
= (Evaluate power:
)
= (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.
\=
= (Add: 1 + 2 = 3)
= (Subtract:
)
= (Write standard division form:
)
The simplified expression is .