(-4+5i)+(3-5i)+(2+5i)

Jasonbradley

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Jun 16, 2024

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Adding Complex Numbers

This article will guide you through the process of adding complex numbers, specifically focusing on the expression (-4 + 5i) + (3 - 5i) + (2 + 5i).

Understanding Complex Numbers

Complex numbers are numbers of the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, defined as the square root of -1.

Adding Complex Numbers

To add complex numbers, we simply add the real components and the imaginary components separately.

Step 1: Identify Real and Imaginary Components

In our expression, we have:

• (-4 + 5i): Real part = -4, Imaginary part = 5
• (3 - 5i): Real part = 3, Imaginary part = -5
• (2 + 5i): Real part = 2, Imaginary part = 5

Step 2: Add the Real Components

-4 + 3 + 2 = 1

Step 3: Add the Imaginary Components

5 - 5 + 5 = 5

Step 4: Combine the Results

The final result is the sum of the real and imaginary components: 1 + 5i

Conclusion

Therefore, the sum of the complex numbers (-4 + 5i) + (3 - 5i) + (2 + 5i) is 1 + 5i.