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Subtract heep denominator factoreld x+5 x²-8x-33 3) 2x+1 x² +10x+21 Mod TH a

Subtract heep denominator factoreld x+5 x²-8x-33 3) 2x+1 x² +10x+21 Mod TH a

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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Subtract and show steps. Keep denominator factored. x+5 2x+1 ——— - ——— x^2 -8x-33 x^2 +10x+21
### Subtraction of Rational Expressions **Problem 3: Subtract. Keep the denominator factored.** \[ \frac{x+5}{x^2 - 8x - 33} - \frac{2x+1}{x^2 + 10x + 21} \] For educational purposes, remember when subtracting rational expressions, follow these steps: 1. **Factor the Denominators**: Check each denominator to see if it can be factored into simpler polynomials. 2. **Common Denominator**: Find a common denominator if necessary. This is essential for subtraction of fractions, including rational expressions. 3. **Combine**: Combine the numerators over the common denominator. 4. **Simplify**: Simplify the resulting expression if possible. This problem does not include graphs or diagrams, so focus on algebraic manipulation as described in the steps above.
Transcribed Image Text:### Subtraction of Rational Expressions **Problem 3: Subtract. Keep the denominator factored.** \[ \frac{x+5}{x^2 - 8x - 33} - \frac{2x+1}{x^2 + 10x + 21} \] For educational purposes, remember when subtracting rational expressions, follow these steps: 1. **Factor the Denominators**: Check each denominator to see if it can be factored into simpler polynomials. 2. **Common Denominator**: Find a common denominator if necessary. This is essential for subtraction of fractions, including rational expressions. 3. **Combine**: Combine the numerators over the common denominator. 4. **Simplify**: Simplify the resulting expression if possible. This problem does not include graphs or diagrams, so focus on algebraic manipulation as described in the steps above.
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