(11+2i)-(3-10i)

Jasonbradley

2 min read

·

Jun 16, 2024

15

Share

Subtracting Complex Numbers: A Step-by-Step Guide

This article will guide you through the process of subtracting complex numbers using the example of (11 + 2i) - (3 - 10i).

Understanding Complex Numbers

Complex numbers are numbers that can be expressed in the form a + bi, where:

• a is the real part and is a real number.
• b is the imaginary part and is also a real number.
• i is the imaginary unit, defined as the square root of -1 (i.e., i² = -1).

Subtracting Complex Numbers

To subtract complex numbers, we follow these steps:

1. Distribute the negative sign: (11 + 2i) - (3 - 10i) = 11 + 2i - 3 + 10i

2. Combine the real and imaginary terms separately: (11 - 3) + (2 + 10)i

3. Simplify the expression: 8 + 12i

Conclusion

Therefore, the result of subtracting (3 - 10i) from (11 + 2i) is 8 + 12i. Remember, when subtracting complex numbers, we subtract the real parts and the imaginary parts separately.