39, x² + y²

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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39 please

### Factoring the Sums of Two Squares

This section focuses on exercises to factor expressions that are sums of two squares. Refer to Example 5 for detailed steps on how to approach these problems.

**Exercises:**

34. \(4x^2 + 49\)

35. \(x^2 + 1\)

36. \(36 + 100a^2\)

37. \(18y^2 + 8\)

38. \(\frac{1}{4}b^2 + 25\)

39. \(x^2 + y^2\)

Each problem involves recognizing the structure of expressions that can potentially be factored into other algebraic expressions, keeping the identity related to sums of squares in mind. 

If further explanation on the methodology is needed, consult your textbook or class notes under Example 5, which should provide a strategy specific to these types of problems.
Transcribed Image Text:### Factoring the Sums of Two Squares This section focuses on exercises to factor expressions that are sums of two squares. Refer to Example 5 for detailed steps on how to approach these problems. **Exercises:** 34. \(4x^2 + 49\) 35. \(x^2 + 1\) 36. \(36 + 100a^2\) 37. \(18y^2 + 8\) 38. \(\frac{1}{4}b^2 + 25\) 39. \(x^2 + y^2\) Each problem involves recognizing the structure of expressions that can potentially be factored into other algebraic expressions, keeping the identity related to sums of squares in mind. If further explanation on the methodology is needed, consult your textbook or class notes under Example 5, which should provide a strategy specific to these types of problems.
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