Algebra & Equations
Complex Multiplication
Multiply two complex numbers.
Formula
Formula
(ac−bd) + (ad+bc)i
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| a, b | first number | real number (ℝ) | real | input |
| c, d | second number | real number (ℝ) | real | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givena (real) = 3, b (imag) = 2, c (real) = 1, d (imag) = -4
Result11 + -10i
Example 2
Givena (real) = 1, b (imag) = 1, c (real) = 1, d (imag) = -1
Result2 + 0i