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25. 20x³y - 4x²y² + 12xy³ 26. 24a³b +6a²b² - 18ab³ 27.-2x4 28.-36 + 12 29.-2x³ + 18x² - 8x 30. -5y³ +35y2 - 15y 31.-4p³q 12p²q² + 16pq² 32. -6a³b 12a²b² + 18ab²

25. 20x³y - 4x²y² + 12xy³ 26. 24a³b +6a²b² - 18ab³ 27.-2x4 28.-36 + 12 29.-2x³ + 18x² - 8x 30. -5y³ +35y2 - 15y 31.-4p³q 12p²q² + 16pq² 32. -6a³b 12a²b² + 18ab²

Algebra and Trigonometry (6th Edition)
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 25,32
### 6.1 Greatest Common Factor and Factor by Grouping #### Exercises **25.** \( 20x^3y - 4x^2y^2 + 12xy^3 \) **26.** \( 24a^3b + 6a^2b^2 - 18ab^3 \) **27.** \( -2x - 4 \) **28.** \( -3b + 12 \) **29.** \( -2x^3 + 18x^2 - 8x \) **30.** \( -5y^3 + 35y^2 - 15y \) **31.** \( -4p^3q - 12p^2q^2 + 16pq^2 \) **32.** \( -6a^3b - 12a^2b^2 + 18ab^2 \) **33.** \( 5x(x + 1) + 3(x + 1) \) **34.** \( 2x(x - 1) + 9(x - 1) \) **35.** \( 3b(b - 2) - 13(b - 2) \) **36.** \( 6m(m - 5) - 7(m - 5) \) ### Factor by Grouping In the following exercises, factor by grouping. **37.** \( ab + 5a + 3b + 15 \) **38.** \( cd + 6c + 4d + 24 \) **39.** \( 8y^2 + y + 40y + 5 \) **40.** \( 6y^2 + 7y + 24y + 28 \) **41.** \( uv + 9t + 2v + 18 \) Visit [openstax.org](https://openstax.org) for more resources and explanations.
Transcribed Image Text:### 6.1 Greatest Common Factor and Factor by Grouping #### Exercises **25.** \( 20x^3y - 4x^2y^2 + 12xy^3 \) **26.** \( 24a^3b + 6a^2b^2 - 18ab^3 \) **27.** \( -2x - 4 \) **28.** \( -3b + 12 \) **29.** \( -2x^3 + 18x^2 - 8x \) **30.** \( -5y^3 + 35y^2 - 15y \) **31.** \( -4p^3q - 12p^2q^2 + 16pq^2 \) **32.** \( -6a^3b - 12a^2b^2 + 18ab^2 \) **33.** \( 5x(x + 1) + 3(x + 1) \) **34.** \( 2x(x - 1) + 9(x - 1) \) **35.** \( 3b(b - 2) - 13(b - 2) \) **36.** \( 6m(m - 5) - 7(m - 5) \) ### Factor by Grouping In the following exercises, factor by grouping. **37.** \( ab + 5a + 3b + 15 \) **38.** \( cd + 6c + 4d + 24 \) **39.** \( 8y^2 + y + 40y + 5 \) **40.** \( 6y^2 + 7y + 24y + 28 \) **41.** \( uv + 9t + 2v + 18 \) Visit [openstax.org](https://openstax.org) for more resources and explanations.
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