To solve the expression \((11 + 9i) - (1 + 2i)\), we subtract the real and imaginary parts separately:

1. **Real part**: \(11 - 1 = 10\)
2. **Imaginary part**: \(9i - 2i = 7i\)

So, the result is:
\[
(11 + 9i) - (1 + 2i) = 10 + 7i
\]

Would you like further details or have any questions?

Here are five related questions to expand on this:

1. What happens when you add two complex numbers instead of subtracting?
2. How do you multiply two complex numbers like \((11 + 9i)(1 + 2i)\)?
3. Can you find the magnitude of the complex number \(10 + 7i\)?
4. How do you divide two complex numbers like \(\frac{11 + 9i}{1 + 2i}\)?
5. What is the complex conjugate of \(10 + 7i\)?

**Tip**: When performing operations on complex numbers, always treat the real and imaginary parts separately!

Learn how to subtract complex numbers with the expression (11 + 9i) - (1 + 2i). This detailed solution breaks down the real and imaginary components, demonstrating key algebraic concepts in complex number operations. Ideal for students in Grades 9-11.

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