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Complex Number Calculators

Complex Subtraction Calculator

Subtract complex numbers (a + bi) − (c + di) and see the result in rectangular and polar form.

Enter values

Results update as you type.

Result

z₁ − z₂

2 + 6i

Polar form
6.32455532 ∠ 71.565051°
Modulus |z|
6.32455532

About the Complex Subtraction Calculator

Subtract complex numbers (a + bi) − (c + di) and see the result in rectangular and polar form.

Also known as: subtract complex numbers, difference of complex numbers.

How to use this calculator

  1. Enter z₁, z₂.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

(a + bi) − (c + di) = (a − c) + (b − d)i

Worked example

Using the values pre-filled in the calculator above:

  • z₁: 3 + 4i
  • z₂: 1 - 2i

the calculator returns:

  • z₁ − z₂: 2 + 6i
  • Polar form: 6.32455532 ∠ 71.565051°
  • Modulus |z|: 6.32455532