To simplify the expression \((2 + 3i) + (4 - 2i)\), we follow these steps:

1. **Group the real parts**: \(2 + 4 = 6\).
2. **Group the imaginary parts**: \(3i - 2i = 1i\).

So, the simplified expression is:

\[
6 + i
\]

Would you like further explanation or have any questions?

Here are 5 related questions to deepen understanding:

1. What is the result of \((5 + 2i) + (1 - 4i)\)?
2. How would you simplify \((3 - 5i) + (6 + 2i)\)?
3. What is the conjugate of \(6 + i\)?
4. How do you subtract two complex numbers, like \((4 + 3i) - (2 - i)\)?
5. What is the magnitude of the complex number \(6 + i\)?

**Tip:** When simplifying complex numbers, treat the real and imaginary parts separately, just like combining like terms in algebra.

Learn how to simplify the sum of two complex numbers (2 + 3i) + (4 - 2i). This step-by-step guide explains how to add the real and imaginary parts separately to get the simplified result 6 + i. Suitable for high school students in Grades 10-12.

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