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Addition and subtraction: add (or subtract) the real parts, then add (or subtract) the imaginary parts. Multiplication: treat just like multiplying binomials (like with a variable x).

After multiplying, convert any i² terms to -1.

Division: multiply both numerator and denominator by its conjugate, which will make the denominator a real, then divide real part by denominator, and then divide imaginary part by denominator.

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Q: How do you do arithmetic complex math?
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