# Multiplying Complex Numbers

How to multiply complex numbers: examples and their solutions.

## Example 1

Use the FOIL method

to multiply the complex numbers.

(+2*i*)⋅(+6*i*) = +12⋅(-1)

= -12

Powers of *i*

Add and subtract

the real numbers (green)

and the imaginary numbers (brown)

separately.

## Example 2

Use the FOIL method

to multiply the complex numbers.

(+*i*)⋅(-5*i*) = -5⋅(-1)

= +5

Powers of *i*

Add and subtract

the real numbers (green)

and the imaginary numbers (brown)

separately.