(8-4i)-(2-7i)

Jasonbradley

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Jun 16, 2024

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Simplifying Complex Numbers: (8 - 4i) - (2 - 7i)

This article will guide you through the process of simplifying the expression (8 - 4i) - (2 - 7i). We will break down the steps involved in subtracting complex numbers.

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.

Simplifying the Expression

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

1. Distribute the negative sign: (8 - 4i) - (2 - 7i) = 8 - 4i - 2 + 7i

2. Combine like terms: (8 - 2) + (-4 + 7)i = 6 + 3i

The Solution

Therefore, the simplified form of (8 - 4i) - (2 - 7i) is 6 + 3i.