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(-3+4i)-(5+2i)

less than a minute read Jun 16, 2024
(-3+4i)-(5+2i)

Subtracting Complex Numbers: (-3 + 4i) - (5 + 2i)

This article explains how to subtract complex numbers. We'll use the example of (-3 + 4i) - (5 + 2i).

Understanding Complex Numbers

Complex numbers have a real part and an imaginary part. They are written in the form a + bi, where:

  • a is the real part.
  • b is the imaginary part.
  • i is the imaginary unit, where i² = -1.

Subtracting Complex Numbers

To subtract complex numbers, we subtract the real parts and the imaginary parts separately.

Here's how to subtract (-3 + 4i) - (5 + 2i):

  1. Distribute the negative sign: (-3 + 4i) - (5 + 2i) = -3 + 4i - 5 - 2i

  2. Combine the real parts: -3 - 5 = -8

  3. Combine the imaginary parts: 4i - 2i = 2i

  4. Write the final answer: -8 + 2i

Therefore, (-3 + 4i) - (5 + 2i) = -8 + 2i.

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