Math Problem Statement

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

Solution

To solve the problem (52i)+(3+3i)(5 - 2i) + (3 + 3i) and write the result in standard form:

Step 1: Add the real parts

5+3=85 + 3 = 8

Step 2: Add the imaginary parts

2i+3i=i-2i + 3i = i

Step 3: Combine both

The result is: 8+i8 + i

Thus, the result in standard form is 8+i8 + 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 (64i)+(2+5i)(6 - 4i) + (2 + 5i)?
  2. How do you subtract complex numbers like (7+3i)(4+2i)(7 + 3i) - (4 + 2i)?
  3. How can you multiply complex numbers (2+i)(32i)(2 + i)(3 - 2i)?
  4. What is the standard form of the complex number 4i4i?
  5. How do you calculate the modulus of a complex number z=8+iz = 8 + i?

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

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Addition of Complex Numbers

Formulas

(a + bi) + (c + di) = (a + c) + (b + d)i

Theorems

Properties of Addition

Suitable Grade Level

Grades 10-12