(8+3i)-(6-2i)

Jasonbradley

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Jun 16, 2024

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Simplifying Complex Numbers: (8 + 3i) - (6 - 2i)

This article will guide you through the process of simplifying the complex number expression (8 + 3i) - (6 - 2i).

Understanding Complex Numbers

Complex numbers are numbers that consist of a real part and an imaginary part. The imaginary part is denoted by the imaginary unit i, where i² = -1. They are written in the form a + bi, where 'a' is the real part and 'b' is the imaginary part.

Simplifying the Expression

1. Distribute the negative sign:

   • (8 + 3i) - (6 - 2i) = 8 + 3i - 6 + 2i

2. Combine real and imaginary terms separately:

   • (8 - 6) + (3 + 2)i

3. Simplify:

   • 2 + 5i

Therefore, the simplified form of (8 + 3i) - (6 - 2i) is 2 + 5i.