6z+15 Simplify the folowing: by filling in the blanks correctly. (Nate: a correct answer without ca 6z2+11z-10 Numerator factoring: Denominator factoring: The 2 sides of the diamonds are: i and The final simplified numerator is: The final simplified denominator is:
6z+15 Simplify the folowing: by filling in the blanks correctly. (Nate: a correct answer without ca 6z2+11z-10 Numerator factoring: Denominator factoring: The 2 sides of the diamonds are: i and The final simplified numerator is: The final simplified denominator is:
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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![### Simplify the following expression: \(\frac{6x + 15}{6x^2 + 11x - 10}\)
**Instructions:**
Fill in the blanks correctly to complete the simplification process. **Note:** A correct answer without correct supporting work will result in a score of 0.
**Step-by-Step Simplification:**
1. **Numerator factoring:** \[\_\_\_\]
2. **Denominator factoring:** \[\_\_\_\]
3. **The 2 sides of the diamonds are:** \[\_\_\_\] and \[\_\_\_\]
4. **The final simplified numerator is:** \[\_\_\_\]
5. **The final simplified denominator is:** \[\_\_\_\]
**Options Available for Steps:**
| Methods | Options |
| --- | --- |
| GCF Method | -5x, 15, 15x, -15x, x - 2, x - 5, 2x + 5, 2x - 5, 3x + 2, 3x - 2, 11x - 10 |
| Box/diamond Method | 1, 2x, -2x, 3, 3x, -3x, 4x, -4x, 5x |
| a^2 - b^2 (Difference of 2 Squares) | |
| a^3 ± b^3 (Sum/Difference of 2 Cubes) | |
| Grouping Method | |
| not factorable/prime | |
Use the provided options to carefully factorize the numerator and the denominator, identify the sides of the diamond, and then write the final simplified forms.
This exercise aims to assist students in mastering algebraic fraction simplification by ensuring step-by-step verification of their work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4eee89c5-859e-4a33-9f47-76755422f8f4%2Fd3be7281-a6f9-4719-b4ea-c1669b0aca68%2Fdrubc3aj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Simplify the following expression: \(\frac{6x + 15}{6x^2 + 11x - 10}\)
**Instructions:**
Fill in the blanks correctly to complete the simplification process. **Note:** A correct answer without correct supporting work will result in a score of 0.
**Step-by-Step Simplification:**
1. **Numerator factoring:** \[\_\_\_\]
2. **Denominator factoring:** \[\_\_\_\]
3. **The 2 sides of the diamonds are:** \[\_\_\_\] and \[\_\_\_\]
4. **The final simplified numerator is:** \[\_\_\_\]
5. **The final simplified denominator is:** \[\_\_\_\]
**Options Available for Steps:**
| Methods | Options |
| --- | --- |
| GCF Method | -5x, 15, 15x, -15x, x - 2, x - 5, 2x + 5, 2x - 5, 3x + 2, 3x - 2, 11x - 10 |
| Box/diamond Method | 1, 2x, -2x, 3, 3x, -3x, 4x, -4x, 5x |
| a^2 - b^2 (Difference of 2 Squares) | |
| a^3 ± b^3 (Sum/Difference of 2 Cubes) | |
| Grouping Method | |
| not factorable/prime | |
Use the provided options to carefully factorize the numerator and the denominator, identify the sides of the diamond, and then write the final simplified forms.
This exercise aims to assist students in mastering algebraic fraction simplification by ensuring step-by-step verification of their work.
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