Concept explainers
For Exercises 31-52, simplify the rational expression (See example 4-5.)
40.
Example 4
Simplifying a Rational Expression
Simplify
Example 5
Simplifying a Rational Expression
Simplify
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Intermediate Algebra
- Explain how you find the values of x for which the rational expression x2x20x24 is undefined.arrow_forwardExplain all the steps you take to simplify the rational expression p2+4p219p2 .arrow_forward1. What do you call an expression in fraction form in which the numerator and the denominator are polynomials? 2. What is the value of the rational expression 2x+1 / x when x = 1 ? 3. What is the simplest form of x2+2x+1 / x2-1 ? 4. What is the simplified form of the rational expression x+5 / 5+x ?arrow_forward
- Why is the rational expression (x + 3)/(x2 - 4) undefined for x = 2 and x = -2 but defined for x = -3?arrow_forwardTo host an event at a popular convention center, it costs $250 plus $10 per person attending. Step 3 of 3 : Determine which values of the variable will make the rational expression from Step 1 undefined.arrow_forwardTrue or False The rational expression (2x3 - 4x ) / ( x - 2) is reduced to lowest terms.arrow_forward
- Simplify a rational expression z2+22z+121/3z+33arrow_forwardA rational expression whose numerator or denominator or both contain rational expressions is called a/an_________ rational expression or a/an fraction___________.arrow_forwardWhy is multiplication and division of rational expressions easier to calculate than addition and subtraction? When adding two rational numbers together What is the simplest way to find a common denominator of two fractions, even if it is not the least common denominator? If you don’t use the least common denominator when adding or subtracting rational numbers or expressions, what will you have to do to simplify your answer? Give an example of a relationship between x and y that is represented by a rational expression.arrow_forward
- add and subtract rational expressions; What are the 3 steps and find the least common denominator when dealing with rational expressions? Explain all steps required to simplify the following rational expression>>> (x^2+2x/x-3)+(x^2-3x-15/x-3) use math and english sentences.arrow_forwardthe easiest way to simplify the complex rational expression. (6+(1/x))/(36-(1/x^2))arrow_forwardConsider the rational expression below. What is the simplified expression?arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell