Math Problem Statement

3 - 7i + 5i - 1 - 4i. Simplify your answer. Type your answer in the form a + bi.

Solution

The equation visible in the image is:

37i+5i14i3 - 7i + 5i - 1 - 4i

We need to simplify it and write the answer in the form a+bia + bi, where aa is the real part and bb is the imaginary part.

Simplification:

  1. Combine the real parts: 31=23 - 1 = 2
  2. Combine the imaginary parts: 7i+5i4i=6i-7i + 5i - 4i = -6i

Thus, the simplified form is:

26i2 - 6i

So the answer is 26i2 - 6i.

Would you like more details or have any other questions?

Here are some related questions to practice:

  1. Simplify 53i+4i25 - 3i + 4i - 2.
  2. Express 4+7i2+5i4 + 7i - 2 + 5i in standard form.
  3. What is the result of (6+2i)+(35i)(6 + 2i) + (3 - 5i)?
  4. Simplify 2+4i13i+5i2 + 4i - 1 - 3i + 5i.
  5. What is the real and imaginary part of 73i+68i7 - 3i + 6 - 8i?

Tip: When simplifying complex numbers, always group real and imaginary parts separately for easier handling.

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Algebra

Formulas

a + bi (Standard Form of a Complex Number)

Theorems

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Suitable Grade Level

Grades 9-12