The expression you provided is the sum of two complex numbers: \( (3 + 4i) + (9 - 3i) \).

To add these complex numbers, combine the real parts and the imaginary parts separately:

\[
(3 + 9) + (4i - 3i) = 12 + 1i
\]

So, the result is:

\[
12 + i
\]

Would you like more details or have any questions?

Here are some related questions for further exploration:

1. What is the result of subtracting \( (9 - 3i) \) from \( (3 + 4i) \)?
2. How do you multiply two complex numbers like \( (3 + 4i)(9 - 3i) \)?
3. What is the magnitude of the complex number \( 12 + i \)?
4. How can you graph the complex number \( 12 + i \) on the complex plane?
5. How do you find the conjugate of a complex number?

**Tip:** When adding or subtracting complex numbers, always handle real and imaginary parts separately.

Learn how to add complex numbers with this example: (3 + 4i) + (9 - 3i). This problem involves basic operations with complex numbers, focusing on combining real and imaginary parts. Suitable for students in Grades 10-12.

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