Math Problem Statement

Simplify (2 + 3i) + (4 - 2i).

Solution

To simplify the expression (2+3i)+(42i)(2 + 3i) + (4 - 2i), we follow these steps:

  1. Group the real parts: 2+4=62 + 4 = 6.
  2. Group the imaginary parts: 3i2i=1i3i - 2i = 1i.

So, the simplified expression is:

6+i6 + 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)+(14i)(5 + 2i) + (1 - 4i)?
  2. How would you simplify (35i)+(6+2i)(3 - 5i) + (6 + 2i)?
  3. What is the conjugate of 6+i6 + i?
  4. How do you subtract two complex numbers, like (4+3i)(2i)(4 + 3i) - (2 - i)?
  5. What is the magnitude of the complex number 6+i6 + i?

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

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Complex Numbers
Addition of Complex Numbers

Formulas

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

Theorems

Basic Arithmetic of Complex Numbers

Suitable Grade Level

Grades 10-12