Simplify the expression to a + bi form:

left parenthesis, 11, minus, 2, i, right parenthesis, minus, left parenthesis, 9, minus, 8, i, right parenthesis

(11−2*i*)−(9−8*i*)

To simplify the given expression into the form \(a + bi\), follow these steps:

Given expression:

\[
(11 - 2i) - (9 - 8i)
\]

1. **Distribute the negative sign** across the second parentheses:
   \[
   11 - 2i - 9 + 8i
   \]

2. **Combine the real parts** (the terms without \(i\)):
   \[
   11 - 9 = 2
   \]

3. **Combine the imaginary parts** (the terms with \(i\)):
   \[
   -2i + 8i = 6i
   \]

4. **Write the expression in the form \(a + bi\)**:
   \[
   2 + 6i
   \]

So, the simplified expression is:

\[
2 + 6i
\]

Would you like more details or have any questions? Here are 8 related questions:

1. How do you add and subtract complex numbers?
2. Can you simplify \((7 + 3i) - (4 + 5i)\)?
3. What is the result of adding \((3 + 2i)\) and \((5 - i)\)?
4. How do you multiply two complex numbers?
5. What is the conjugate of a complex number?
6. Can you express \((2 - 3i) + (4 + 7i)\) in \(a + bi\) form?
7. How do you divide complex numbers?
8. What happens when you square a complex number like \( (1 + 2i)^2 \)?

**Tip:** Always combine like terms (real with real, imaginary with imaginary) when simplifying complex expressions.

Learn how to simplify the expression (11 - 2i) - (9 - 8i) to the form a + bi. Follow step-by-step instructions to combine real and imaginary parts, suitable for high school students.

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