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### Course: Algebra 2 > Unit 2

Lesson 5: Multiplying complex numbers# Complex number operations review

Review complex number addition, subtraction, and multiplication.

Addition | ||

Subtraction | ||

Multiplication | ||

*Want to learn more about complex number operations? Check out these videos:*

## Practice set 1: Adding and subtracting complex numbers

### Example 1: Adding complex numbers

When adding complex numbers, we simply add the real parts and add the imaginary parts. For example:

### Example 2: Subtracting complex numbers

When subtracting complex numbers, we simply subtract the real parts and subtract the imaginary parts. For example:

*Want to try more problems like this? Check out this exercise.*

## Practice set 2: Multiplying complex numbers

When multiplying complex numbers, we perform a multiplication similar to how we expand the parentheses in binomial products:

Unlike regular binomial multiplication, with complex numbers we also consider the fact that ${i}^{2}=-1$ .

### Example 1

### Example 2

### Example 3

*Want to try more problems like this? Check out this basic exercise and this advanced exercise.*

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