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How to Calculate Complex Arithmetic

What is Complex Arithmetic?

Complex arithmetic performs addition, subtraction, multiplication, division with complex numbers a+bi.

Step-by-Step Guide

  1. 1Input two complex numbers
  2. 2Select operation
  3. 3Calculate result in standard form

Worked Examples

Input
(3+2i) × (1-i)
Result
5-i (using FOIL and i²=-1)

Common Mistakes to Avoid

  • Forgetting i²=-1
  • Not conjugating for division

Frequently Asked Questions

Why use complex numbers?

Solutions to equations with no real roots (x²+1=0), AC circuit analysis, signal processing.

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