To solve the expression \((2 + 6i) - (3 - 6i)\), follow these steps:

1. Distribute the negative sign to the terms inside the second set of parentheses:
   \[
   (2 + 6i) - 3 + 6i
   \]
   
2. Combine the real parts:
   \[
   2 - 3 = -1
   \]

3. Combine the imaginary parts:
   \[
   6i + 6i = 12i
   \]

Thus, the result is:
\[
-1 + 12i
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the difference between real and imaginary parts of complex numbers?
2. How do you multiply complex numbers?
3. What happens when you divide two complex numbers?
4. Can you explain the geometric interpretation of complex numbers?
5. How do you represent complex numbers in polar form?

**Tip:** Always combine like terms (real with real and imaginary with imaginary) when adding or subtracting complex numbers.

Explore the step-by-step solution to subtracting complex numbers, specifically solving (2 + 6i) - (3 - 6i). This problem covers key concepts such as combining real and imaginary parts. Ideal for students in Grades 9-12 learning basic operations on complex numbers.

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