Simplify the expression to a + bi form: (−4+10i)+(5+3i)

To simplify the expression \((−4 + 10i) + (5 + 3i)\) to the form \(a + bi\), we add the real parts and the imaginary parts separately.

Here's the step-by-step process:

1. **Add the real parts**: \(-4 + 5 = 1\).
2. **Add the imaginary parts**: \(10i + 3i = 13i\).

So, the simplified expression is:

\[
(−4 + 10i) + (5 + 3i) = 1 + 13i
\]

### Final Answer:
\[
1 + 13i
\]

Would you like to see more details, or do you have any questions?

### Related Questions:
1. How do you add or subtract complex numbers?
2. What is the magnitude of the complex number \(1 + 13i\)?
3. How do you multiply two complex numbers?
4. How can you find the conjugate of a complex number?
5. How do you divide complex numbers?

**Tip:** Always combine the real and imaginary parts separately when dealing with complex numbers!

Learn how to simplify the expression (-4 + 10i) + (5 + 3i) to the form a + bi with a step-by-step solution. This problem involves the addition of complex numbers and is suitable for advanced high school students.

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