(3+2i)-(1-6i)

Jasonbradley

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Jun 16, 2024

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Simplifying Complex Numbers: (3 + 2i) - (1 - 6i)

This article will guide you through the process of simplifying the expression (3 + 2i) - (1 - 6i), where i represents the imaginary unit (√-1).

Understanding Complex Numbers

Complex numbers are numbers that consist of a real part and an imaginary part. They are generally written in the form a + bi, where a and b are real numbers.

Simplifying the Expression

To simplify (3 + 2i) - (1 - 6i), we will follow these steps:

1. Distribute the negative sign: (3 + 2i) - (1 - 6i) = 3 + 2i - 1 + 6i

2. Combine the real and imaginary terms: (3 - 1) + (2 + 6)i = 2 + 8i

The Result

Therefore, the simplified form of (3 + 2i) - (1 - 6i) is 2 + 8i.

This result represents a complex number with a real part of 2 and an imaginary part of 8.