https://file.aiquickdraw.com/mathbot/file/1726883996235k8aj9pn9.jpg

The question visible in the image asks to "Add and simplify" the following expression:

\[
(13 + 5i) + (-9 + 3i)
\]
It also specifies to express the result in the form \( a + bi \), where \( a \) and \( b \) are real numbers.

Let's break this down:

1. Add the real parts: \( 13 + (-9) = 4 \).
2. Add the imaginary parts: \( 5i + 3i = 8i \).

Thus, the simplified expression is:

\[
4 + 8i
\]

Would you like more details, or do you have any other questions?

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Here are five related questions to deepen your understanding:

1. How do you subtract complex numbers?
2. What is the geometric interpretation of adding two complex numbers?
3. How do you multiply two complex numbers?
4. What is the conjugate of a complex number, and how is it used?
5. How do you divide two complex numbers?

**Tip:** Always remember to treat real and imaginary parts separately when performing arithmetic on complex numbers.

(13 + 5i) + (-9 + 3i). Simplify the answer and express it in the form a + bi.

Learn how to add and simplify complex numbers in the form (13 + 5i) + (-9 + 3i). This problem involves adding real and imaginary parts separately and expressing the answer in the form a + bi. Suitable for students in Grades 11-12.

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