https://file.aiquickdraw.com/mathbot/file/17284259187296g7d18tj.jpg

The problem you're working on asks you to subtract and simplify the following complex numbers:

\[
(10 + 6i) - (5 + 4i)
\]

### Steps to simplify:

1. **Group the real and imaginary parts**:
   \[
   (10 - 5) + (6i - 4i)
   \]

2. **Perform the subtraction**:
   - Real part: \( 10 - 5 = 5 \)
   - Imaginary part: \( 6i - 4i = 2i \)

3. **Final answer**:
   \[
   5 + 2i
   \]

So, the simplified result is **\( 5 + 2i \)**.

Let me know if you need further details or have any questions!

### Related Questions:
1. What is the general process for adding complex numbers?
2. How would you multiply two complex numbers, such as \( (2 + 3i)(4 + 5i) \)?
3. What is the geometric interpretation of complex numbers on the complex plane?
4. How can you find the modulus and argument of a complex number like \( 3 + 4i \)?
5. What is the significance of the imaginary unit \( i \), and how does \( i^2 = -1 \) influence calculations?

### Tip:
Always keep real and imaginary parts separate during addition or subtraction to avoid mistakes!

(10 + 6i) - (5 + 4i). Simplify the result.

Learn how to subtract and simplify the complex numbers (10 + 6i) and (5 + 4i). The detailed solution involves grouping and subtracting real and imaginary parts separately. Perfect for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation