Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter2: Solving Equations
Section: Chapter Questions
Problem 20CR
Related questions
Question
![### Simplify the expression.
1. **a)** \(2(5 - x) + 3x\)
[Text Box for Simplified Expression]
2. **b)** \(4x - 3(x + 7)\)
[Text Box for Simplified Expression]
3. **c)** \((2x - 1)(2x - 1)\)
[Text Box for Simplified Expression]
4. **d)** \((2x - 1)(3x + 5)\)
[Text Box for Simplified Expression]
**Explanation:**
To simplify these expressions, apply the correct mathematical operations such as distribution, combining like terms, and applying the FOIL method for binomials.
- For **part a**, distribute the \(2\) across both terms inside the parentheses and then combine like terms with \(3x\).
- In **part b**, distribute the \(-3\) across both terms inside the parentheses and then combine like terms with \(4x\).
- For **part c**, use the FOIL (First, Outer, Inner, Last) method to expand the binomials.
- In **part d**, also use the FOIL method to expand the binomials.
Fill in the text boxes with the simplified versions of each expression.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea59d659-13ea-4073-88ed-0121204c1b21%2F677dda03-c976-464a-a023-623ef711fe48%2F2vegxto_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Simplify the expression.
1. **a)** \(2(5 - x) + 3x\)
[Text Box for Simplified Expression]
2. **b)** \(4x - 3(x + 7)\)
[Text Box for Simplified Expression]
3. **c)** \((2x - 1)(2x - 1)\)
[Text Box for Simplified Expression]
4. **d)** \((2x - 1)(3x + 5)\)
[Text Box for Simplified Expression]
**Explanation:**
To simplify these expressions, apply the correct mathematical operations such as distribution, combining like terms, and applying the FOIL method for binomials.
- For **part a**, distribute the \(2\) across both terms inside the parentheses and then combine like terms with \(3x\).
- In **part b**, distribute the \(-3\) across both terms inside the parentheses and then combine like terms with \(4x\).
- For **part c**, use the FOIL (First, Outer, Inner, Last) method to expand the binomials.
- In **part d**, also use the FOIL method to expand the binomials.
Fill in the text boxes with the simplified versions of each expression.
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