Multiply (3 + 2i)·(1 − i)
Use the FOIL method and i² = −1 to multiply two complex numbers.
Solution
- Inputs z₁ = 3 + 2i, z₂ = 1 − i
- Multiply (FOIL) (ac − bd) + (ad + bc)i
- Real part 3·1 − 2·-1 = 5
- Imag part 3·-1 + 2·1 = -1
- Result 5 − i
- Modulus |z| = √(re² + im²) = 5.09902
Try a similar problem yourself
Use the Complex Number Calculator to solve a similar problem with your own values.
Open the solver