The given expression is \((2 + 3i) + (9 - 2i)\).

To simplify this, combine the real and imaginary parts separately:
- Real part: \( 2 + 9 = 11 \)
- Imaginary part: \( 3i - 2i = 1i \) or just \(i\)

Thus, the result is:
\[
11 + i
\]

Would you like more details or have any questions?

Here are some related questions:
1. How do you multiply two complex numbers?
2. What is the conjugate of a complex number?
3. How do you find the magnitude of a complex number?
4. Can you graph complex numbers on a plane?
5. How are complex numbers used in electrical engineering?

**Tip:** When adding complex numbers, always combine the real and imaginary parts separately!

Learn how to add complex numbers like (2+3i) and (9-2i) by combining real and imaginary parts separately. The solution breaks down the addition step-by-step and explains the key concepts of complex number arithmetic. Suitable for high school students in Grades 9-12.

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