Factor the sums of two squares. SEE EXAMPLE 5 35. x² + 1 34. 4x²+49 EXF71) (2x-7) 36+100a2 G+ (3 GX-3) 37. 18y2 +8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 41E
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37 please

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**Page Content:**

**33.** \( \frac{4 - 4i}{1 + 3i} \)  
Solution: \( \frac{4}{5} - \frac{8}{5}i \)  

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

**Factor the sums of two squares. SEE EXAMPLE 5**

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

**35.** \( x^2 + 1 \)  
Solution: \( (x + i)(x - i) \)  

**36.** \( 36 + 100a^2 \)  
Solution: \( (6 + 10ai)(6 - 10ai) \)  

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

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

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

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There are no graphs or diagrams present in this image. Each number represents a different algebraic expression to be solved or factored, with some solutions provided.
Transcribed Image Text:Certainly! Here's a transcription of the text from the image: --- **Page Content:** **33.** \( \frac{4 - 4i}{1 + 3i} \) Solution: \( \frac{4}{5} - \frac{8}{5}i \) **32.** \( \frac{6 + 12i}{3i} \) Solution: 4 - 2i **Factor the sums of two squares. SEE EXAMPLE 5** **34.** \( 4x^2 + 49 \) **35.** \( x^2 + 1 \) Solution: \( (x + i)(x - i) \) **36.** \( 36 + 100a^2 \) Solution: \( (6 + 10ai)(6 - 10ai) \) **37.** \( 18y^2 + 8 \) **38.** \( \frac{1}{4}b^2 + 25 \) **39.** \( x^2 + y^2 \) --- There are no graphs or diagrams present in this image. Each number represents a different algebraic expression to be solved or factored, with some solutions provided.
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