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To solve the problem \( (5 - 2i) + (3 + 3i) \) and write the result in standard form:

### Step 1: Add the real parts
\[
5 + 3 = 8
\]

### Step 2: Add the imaginary parts
\[
-2i + 3i = i
\]

### Step 3: Combine both
The result is:
\[
8 + i
\]

Thus, the result in standard form is \( 8 + i \).

Would you like more details or have any questions about this?

Here are 5 related questions for further practice:
1. What is the result of \( (6 - 4i) + (2 + 5i) \)?
2. How do you subtract complex numbers like \( (7 + 3i) - (4 + 2i) \)?
3. How can you multiply complex numbers \( (2 + i)(3 - 2i) \)?
4. What is the standard form of the complex number \( 4i \)?
5. How do you calculate the modulus of a complex number \( z = 8 + i \)?

**Tip:** When adding or subtracting complex numbers, always group and handle real and imaginary parts separately.

Add and write the result in standard form: (5 - 2i) + (3 + 3i)

Learn how to add complex numbers with the problem (5 - 2i) + (3 + 3i). This step-by-step solution covers essential concepts such as grouping real and imaginary parts. Ideal for students in Grades 10-12.

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