1. –5x + 10x 3x2 + 10 – 20 +2x2 – 30 2. 2xy2 + 4xy + 6x²y+7 3. 3æ² (5æ) (–a³) → 15a³ – 2a5 4. 6x3 (4x2 – 5x + 8) 5. (2x – 5) (2x – 5) → 4x2 + 25 → 12x?y? +7 » 24x6 – 30x3 + 48x3 → 24x6 + 18x3 -
1. –5x + 10x 3x2 + 10 – 20 +2x2 – 30 2. 2xy2 + 4xy + 6x²y+7 3. 3æ² (5æ) (–a³) → 15a³ – 2a5 4. 6x3 (4x2 – 5x + 8) 5. (2x – 5) (2x – 5) → 4x2 + 25 → 12x?y? +7 » 24x6 – 30x3 + 48x3 → 24x6 + 18x3 -
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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If the directions is to simplify the following polynomials, then explain what I perhaps did wrong or explain what the answer should be.
Note: Only number 3.
![The image presents a series of algebraic expressions and equations, as outlined below:
1. **Expression Simplification:**
\[
-5x + 10x - 3x^2 + 10 - 20 \rightarrow 2x^2 - 30
\]
2. **Polynomial Expression:**
\[
2xy^2 + 4xy + 6x^2y + 7 \rightarrow 12x^2y^2 + 7
\]
3. **Polynomial Multiplication:**
\[
3x^2 \left( 5x \right) \left( -\frac{2}{3} x^3 \right) \rightarrow 15x^3 - 2x^5
\]
4. **Polynomial Expansion:**
\[
6x^3 \left( 4x^2 - 5x + 8 \right) \rightarrow 24x^6 - 30x^3 + 48x^3 \rightarrow 24x^6 + 18x^3
\]
5. **Quadratic Expansion:**
\[
(2x - 5)(2x - 5) \rightarrow 4x^2 + 25
\]
Each line shows different algebraic processes, including simplification, expansion, and multiplication of polynomials. The transformations illustrate common algebraic techniques useful in simplifying expressions and solving problems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ced1207-c59d-4e89-ad67-25d6e12058b0%2Fc4096a40-eaa5-4afb-bd90-f84a652073bd%2Fc1f4b2b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a series of algebraic expressions and equations, as outlined below:
1. **Expression Simplification:**
\[
-5x + 10x - 3x^2 + 10 - 20 \rightarrow 2x^2 - 30
\]
2. **Polynomial Expression:**
\[
2xy^2 + 4xy + 6x^2y + 7 \rightarrow 12x^2y^2 + 7
\]
3. **Polynomial Multiplication:**
\[
3x^2 \left( 5x \right) \left( -\frac{2}{3} x^3 \right) \rightarrow 15x^3 - 2x^5
\]
4. **Polynomial Expansion:**
\[
6x^3 \left( 4x^2 - 5x + 8 \right) \rightarrow 24x^6 - 30x^3 + 48x^3 \rightarrow 24x^6 + 18x^3
\]
5. **Quadratic Expansion:**
\[
(2x - 5)(2x - 5) \rightarrow 4x^2 + 25
\]
Each line shows different algebraic processes, including simplification, expansion, and multiplication of polynomials. The transformations illustrate common algebraic techniques useful in simplifying expressions and solving problems.
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