Let's solve the given complex number addition:

\[
(5 + 4i) + (5 - 2i)
\]

1. Combine the real parts:  
   \(5 + 5 = 10\)

2. Combine the imaginary parts:  
   \(4i - 2i = 2i\)

Thus, the sum is:

\[
10 + 2i
\]

Would you like more details or have any questions?

Here are 5 related questions you can explore:
1. What is the result of \( (3 + 7i) + (8 - 5i) \)?
2. How do you subtract two complex numbers?
3. Can you multiply two complex numbers like \( (2 + 3i)(4 - i) \)?
4. What is the conjugate of a complex number?
5. How do you find the modulus of a complex number?

**Tip:** When adding or subtracting complex numbers, treat the real and imaginary parts separately!

Explore how to add two complex numbers, (5 + 4i) and (5 − 2i), with a clear, step-by-step solution. This guide explains how to combine the real and imaginary parts, suitable for students in Grades 9-12 learning about complex number operations.

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