Multiply the numerator and denominator by the conjugate of the denominator .
Conjugate of is
.
Multiply the numerator and denominator by .
The FOIL method can be used to multiply the complex numbers.
\Foil method: the product of two binomials is the sum of the products of the First terms,
\the Outer terms, the Inner terms and the Last terms.
\The word FOIL is an acronym for the four terms of the product.
\ (Multiply the numerator using FOIL method)
(Multiply:
)
(
)
Evaluate powers: .
(Substitute the imaginary unit value
)
(Multiply:
)
Combine like terms using distributive property: .
(Add:
)
Apply commutative properties of addition: a + b = b + a.
\ (Add:
)
(Write the equation in standard form)
The simplified expression is .