### Problem 8 **Subtract:** \[ (-6x + 2x^2) - (x^2 + x - 3) \] ### Explanation: To solve this problem, you need to subtract the second polynomial expression from the first. Follow these steps: 1. **Distribute the subtraction sign** through the second expression: - Rewrite the expression as: \[ (-6x + 2x^2) - x^2 - x + 3 \] 2. **Combine like terms**: - Combine the \(x^2\) terms: \[ 2x^2 - x^2 = x^2 \] - Combine the \(x\) terms: \[ -6x - x = -7x \] - The constant term remains: \[ +3 \] 3. **Final simplified expression**: - \(x^2 - 7x + 3\) This is the result after performing the subtraction of the given polynomials.
### Problem 8 **Subtract:** \[ (-6x + 2x^2) - (x^2 + x - 3) \] ### Explanation: To solve this problem, you need to subtract the second polynomial expression from the first. Follow these steps: 1. **Distribute the subtraction sign** through the second expression: - Rewrite the expression as: \[ (-6x + 2x^2) - x^2 - x + 3 \] 2. **Combine like terms**: - Combine the \(x^2\) terms: \[ 2x^2 - x^2 = x^2 \] - Combine the \(x\) terms: \[ -6x - x = -7x \] - The constant term remains: \[ +3 \] 3. **Final simplified expression**: - \(x^2 - 7x + 3\) This is the result after performing the subtraction of the given polynomials.
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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![### Problem 8
**Subtract:**
\[
(-6x + 2x^2) - (x^2 + x - 3)
\]
### Explanation:
To solve this problem, you need to subtract the second polynomial expression from the first. Follow these steps:
1. **Distribute the subtraction sign** through the second expression:
- Rewrite the expression as:
\[
(-6x + 2x^2) - x^2 - x + 3
\]
2. **Combine like terms**:
- Combine the \(x^2\) terms:
\[
2x^2 - x^2 = x^2
\]
- Combine the \(x\) terms:
\[
-6x - x = -7x
\]
- The constant term remains:
\[
+3
\]
3. **Final simplified expression**:
- \(x^2 - 7x + 3\)
This is the result after performing the subtraction of the given polynomials.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20a4260f-86cb-48fb-a442-b0ebfeee96a2%2F0b5c5933-91d3-4b0c-b318-bed6d92a6d41%2F317n8hq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 8
**Subtract:**
\[
(-6x + 2x^2) - (x^2 + x - 3)
\]
### Explanation:
To solve this problem, you need to subtract the second polynomial expression from the first. Follow these steps:
1. **Distribute the subtraction sign** through the second expression:
- Rewrite the expression as:
\[
(-6x + 2x^2) - x^2 - x + 3
\]
2. **Combine like terms**:
- Combine the \(x^2\) terms:
\[
2x^2 - x^2 = x^2
\]
- Combine the \(x\) terms:
\[
-6x - x = -7x
\]
- The constant term remains:
\[
+3
\]
3. **Final simplified expression**:
- \(x^2 - 7x + 3\)
This is the result after performing the subtraction of the given polynomials.
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