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Let's solve the given problem:

We need to subtract the complex numbers \( (9 + 13i) - (1 - 11i) \).

1. First, distribute the minus sign:
\[
(9 + 13i) - (1 - 11i) = 9 + 13i - 1 + 11i
\]

2. Now, combine the real and imaginary parts:
   - Real part: \( 9 - 1 = 8 \)
   - Imaginary part: \( 13i + 11i = 24i \)

So, the result is:
\[
8 + 24i
\]

This is the answer in standard form.

Would you like more details or have any questions?

Here are some related questions:
1. What is a complex number?
2. How do you add and subtract complex numbers?
3. How would you multiply two complex numbers?
4. What is the significance of the imaginary unit \(i\)?
5. How do you express a complex number in polar form?

**Tip:** When subtracting complex numbers, handle the real and imaginary parts separately to avoid confusion.

Learn how to subtract complex numbers, like (9 + 13i) - (1 - 11i), with this step-by-step solution. Understand how to combine real and imaginary parts to get the answer 8 + 24i. Suitable for students in Grades 9-11.

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