x² + 1

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,...
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Question

35 plea

### Problem Solving

#### Write each quotient in the form \(a + bi\).

- **31.** \(\frac{5}{6 + 2i}\)
- **32.** \(\frac{6 + 12i}{3i}\)
  - Solution: \(4 - 2i\)
- **33.** \(\frac{4 - 4i}{1 + 3i}\)

#### Factor the sums of two squares.

- **34.** \(4x^2 + 49\)
- **35.** \(x^2 + 1\)
- **36.** \(36 + 100a^2\)
- **37.** \(18y^2 + 8\)
Transcribed Image Text:### Problem Solving #### Write each quotient in the form \(a + bi\). - **31.** \(\frac{5}{6 + 2i}\) - **32.** \(\frac{6 + 12i}{3i}\) - Solution: \(4 - 2i\) - **33.** \(\frac{4 - 4i}{1 + 3i}\) #### Factor the sums of two squares. - **34.** \(4x^2 + 49\) - **35.** \(x^2 + 1\) - **36.** \(36 + 100a^2\) - **37.** \(18y^2 + 8\)
Expert Solution
Step 1: Write the given information

given an algebraic expression as follows

x2+1,

we need to factorise it

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