Complex Subtraction Calculator

Use our free complex subtraction calculator to subtract two complex numbers (a+bi) − (c+di) with a detailed step-by-step breakdown.

Math

z₁ =

z₂ =

Formula

Subtract two complex numbers with a full step-by-step breakdown showing real and imaginary parts subtracted separately.

(a₁+b₁i) − (a₂+b₂i) = (a₁−a₂) + (b₁−b₂)i

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter z₁ as a+bi.
2Enter z₂ as c+di.
3Click Calculate to see the difference.

Examples

(3+4i)−(1+2i)

1.Real: 3−1=2
2.Imaginary: 4−2=2
3.Result: 2+2i

Result: 2.8284271247

(5−3i)−(2+7i)

1.Real: 5−2=3
2.Imaginary: −3−7=−10
3.Result: 3−10i

Result: 10.4403065089

Frequently Asked Questions

Subtract real and imaginary parts separately: (a+bi)−(c+di) = (a−c)+(b−d)i.

It will be shown as a−bi format, e.g., 3−10i.

Yes — treat the real number as n+0i.

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CalculateMe Team

Last updated: 2026-07-15

Complex Subtraction Calculator

Formula

How It Works

Examples

(3+4i)−(1+2i)

(5−3i)−(2+7i)

Frequently Asked Questions

How do you subtract complex numbers?

What if the result has a negative imaginary part?

Can I subtract a real number?

Related Calculators

Complex Subtraction Calculator

Formula

How It Works

Examples

(3+4i)−(1+2i)

(5−3i)−(2+7i)

Frequently Asked Questions

How do you subtract complex numbers?

What if the result has a negative imaginary part?

Can I subtract a real number?

Related Calculators