Concept explainers
For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Beginning and Intermediate Algebra
Additional Math Textbook Solutions
Elementary Linear Algebra (Classic Version) (2nd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Elementary Algebra: Concepts and Applications (10th Edition)
Pre-Algebra Student Edition
College Algebra (7th Edition)
- In Exercises 83–90, perform the indicated operation or operations. 83. (3x + 4y)? - (3x – 4y) 84. (5x + 2y) - (5x – 2y) 85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1) 86. (3x + 5)(2x - 9) - (7x – 2)(x – 1) 87. (2x + 5)(2r - 5)(4x? + 25) 88. (3x + 4)(3x – 4)(9x² + 16) (2x – 7)5 89. (2x – 7) (5x – 3)6 90. (5x – 3)4arrow_forwardwhich fraction is expressed in simplest form? 1. x-1/x2-2x+1 2. x-1/x2-1 3. x-1/x2+1 4. x+1/x2-1arrow_forwardMake Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I did to find the binomial product (x + 5)(x + 4). 136. I used a special-product formula and simplified as follows: (V2 + V5)? = 2 + 5 = 7. 137. In some cases when I multiply a square root expression and its conjugate, the simplified product contains a radical. 138. I use the fact that 1 is the multiplicative identity to both rationalize denominators and rewrite rational expressions with a common denominator.arrow_forward
- In Exercises 132–137, factor each polynomial. Assume that all variable exponents represent whole numbers. 132. 9x2" + x" – 8 133. 4x2n – 9x" + 5 134. an+2 – a"+2 – 6a? 135. b2n+2 + 3b"+2 10b2 136. 3c"+2 10c"+1 + 3c" 137. 2d"+2 5d"+1 + 3d"arrow_forwardWhat is the result of 1+1?arrow_forwardHow to simplify this without using fractions in the power? We didn't learn how to rationalize with fractions in our school.arrow_forward
- In Exercises 17-19, add or subtract as indicated. Simplify the result, if possible. 4x + 1 17. Зх — 1 8x 3x 1 2x - 7 18. x2 – 9 x2 – 9 4x2 – 11x + 4 19. x2 - 4x + 10 x - 3 x - 3arrow_forwardet. Simplify the rational expressions 5n +15 2n+4 4n+8 3n+9 *You don't have to print this organizer for working but just follow it's direction & format. HHarrow_forwardIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. 133. y + x + x + y 134. 36x2" – y2n 135. x* 3n 12n 136. 4x2" + 20x"y" + 25y2marrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt