$\"\"$

\

The expression is $\"\"$ .

\

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 complex numbers using FOIL method

\

$\"\"$

\

Multiply: $\"\"$

\

$\"\"$

\

Multiply: $\"\"$

\

$\"\"$

\

Combine like terms using distributive property: $\"\"$ .

\

$\"\"$

\

$\"\"$ (Subtract: $\"\"$ ) $\"\"$

\

$\"\"$ (Substitute the imaginary unit value $\"\"$ )

\

$\"\"$ (Product of two different signs is negative)

\

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

\

$\"\"$

\

$\"\"$ (Subtract: $\"\"$ ) $\"\"$

\

The simplified expression is $\"\"$ .