(7+10i)−(−2+3i)

Jasonbradley

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Jun 16, 2024

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Adding Complex Numbers: (7+10i)−(−2+3i)

This article will guide you through the process of adding complex numbers, specifically focusing on the problem: (7+10i)−(−2+3i).

Understanding Complex Numbers

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

Adding Complex Numbers

Adding complex numbers is straightforward. You simply add the real parts together and add the imaginary parts together.

Solving the Problem

Let's break down the problem: (7+10i)−(−2+3i)

1. Distribute the negative sign: This changes the problem to: 7 + 10i + 2 - 3i

2. Combine the real terms: 7 + 2 = 9

3. Combine the imaginary terms: 10i - 3i = 7i

4. Combine the results: 9 + 7i

Solution

Therefore, (7+10i)−(−2+3i) = 9 + 7i.