(-8+3i)-(2+5i)

Jasonbradley

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Jun 16, 2024

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Subtracting Complex Numbers: A Step-by-Step Guide

This article will guide you through the process of subtracting complex numbers, using the example of (-8 + 3i) - (2 + 5i).

Understanding Complex Numbers

A complex number is a number that can be expressed in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, defined as the square root of -1.

Subtracting Complex Numbers

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

1. Identify the Real and Imaginary Parts:

   • In (-8 + 3i), the real part is -8 and the imaginary part is 3i.
   • In (2 + 5i), the real part is 2 and the imaginary part is 5i.

2. Subtract the Real Parts:

   • -8 - 2 = -10

3. Subtract the Imaginary Parts:

   • 3i - 5i = -2i

4. Combine the Results:

   • -10 - 2i

Conclusion

Therefore, (-8 + 3i) - (2 + 5i) = -10 - 2i. The final answer is a complex number with a real part of -10 and an imaginary part of -2i.