Just as with real numbers, we can perform arithmetic operations on complex numbers. To add or subtract complex numbers, we combine the real parts and combine the imaginary parts.
A General Note: Addition and Subtraction of Complex Numbers
Adding complex numbers:
Subtracting complex numbers:
How To: Given two complex numbers, find the sum or difference.
- Identify the real and imaginary parts of each number.
- Add or subtract the real parts.
- Add or subtract the imaginary parts.
Example 3: Adding Complex Numbers
Add [latex]3 - 4i[/latex] and [latex]2+5i[/latex].
We add the real parts and add the imaginary parts.
Try It 3
Subtract [latex]2+5i[/latex] from [latex]3 - 4i[/latex].