Subtract. (4-6i)-(6-4i) Write your answer as a complex number in standard form. i

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
The task is to subtract the complex numbers:

\[
(4 - 6i) - (6 - 4i)
\]

Write your answer as a complex number in standard form.

**Solution:**

To solve this, subtract the real and imaginary parts separately:

1. **Real Part:**
   \[
   4 - 6 = -2
   \]

2. **Imaginary Part:**
   \[
   -6i - (-4i) = -6i + 4i = -2i
   \]

So, the answer in standard form is:

\[
-2 - 2i
\]

### Tools:

- **Box for Input:** A rectangular box is provided for entering the answer.
- **Symbols and Operations:** The area includes buttons and symbols used for formatting complex numbers, including an "i" for imaginary numbers.

To proceed with entering your solution, click "Continue".
Transcribed Image Text:The task is to subtract the complex numbers: \[ (4 - 6i) - (6 - 4i) \] Write your answer as a complex number in standard form. **Solution:** To solve this, subtract the real and imaginary parts separately: 1. **Real Part:** \[ 4 - 6 = -2 \] 2. **Imaginary Part:** \[ -6i - (-4i) = -6i + 4i = -2i \] So, the answer in standard form is: \[ -2 - 2i \] ### Tools: - **Box for Input:** A rectangular box is provided for entering the answer. - **Symbols and Operations:** The area includes buttons and symbols used for formatting complex numbers, including an "i" for imaginary numbers. To proceed with entering your solution, click "Continue".
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