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SIMPLIFY THE RATIONAL EXPESSION (NOTE THE ANSWER ISNT X+3)

SIMPLIFY THE RATIONAL EXPESSION (NOTE THE ANSWER ISNT X+3)

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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SIMPLIFY THE RATIONAL EXPESSION (NOTE THE ANSWER ISNT X+3)

The expression shown is a rational function, where the numerator and denominator consist of terms with negative exponents. **Numerator:** \(1 + 12x^{-1} + 27x^{-2}\) - The first term is a constant: 1. - The second term is \(12x^{-1}\), which represents \( \frac{12}{x} \). - The third term is \(27x^{-2}\), which represents \( \frac{27}{x^2} \). **Denominator:** \(x^{-1} + 9x^{-2}\) - The first term is \(x^{-1}\), representing \( \frac{1}{x} \). - The second term is \(9x^{-2}\), representing \( \frac{9}{x^2} \). This expression is commonly analyzed in algebra to understand the behavior of functions with negative exponents and how they affect the simplification process or the function's graph.
Transcribed Image Text:The expression shown is a rational function, where the numerator and denominator consist of terms with negative exponents. **Numerator:** \(1 + 12x^{-1} + 27x^{-2}\) - The first term is a constant: 1. - The second term is \(12x^{-1}\), which represents \( \frac{12}{x} \). - The third term is \(27x^{-2}\), which represents \( \frac{27}{x^2} \). **Denominator:** \(x^{-1} + 9x^{-2}\) - The first term is \(x^{-1}\), representing \( \frac{1}{x} \). - The second term is \(9x^{-2}\), representing \( \frac{9}{x^2} \). This expression is commonly analyzed in algebra to understand the behavior of functions with negative exponents and how they affect the simplification process or the function's graph.
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