Chapter 0.4, Problem 16E

BuyFind*arrow_forward*

7th Edition

Waner + 1 other

ISBN: 9781337291248

Textbook Problem

Rewrite each expression in Exercises 1–16 as a single rational expression, simplified as much as possible.

To determine

**To calculate:** The simplified form of the expression

Explanation

**Given Information:**

The provided expression is

**Formula used:**

The difference of two rational expression:

To subtract when the denominators are the same, subtract the second numerators from the first and keep the common denominators.

The algebraic identity for differences of cube of two numbers:

Algebraic identity for squares of sum of two numbers:

**Calculation:**

Consider the expression

The denominators of the terms

Therefore, multiply by

Apply the difference of two rational expression

Now, apply the algebraic identity for difference of cube of two numbers,

Sect-0.1 P-1ESect-0.1 P-2ESect-0.1 P-3ESect-0.1 P-4ESect-0.1 P-5ESect-0.1 P-6ESect-0.1 P-7ESect-0.1 P-8ESect-0.1 P-9ESect-0.1 P-10E

Sect-0.1 P-11ESect-0.1 P-12ESect-0.1 P-13ESect-0.1 P-14ESect-0.1 P-15ESect-0.1 P-16ESect-0.1 P-17ESect-0.1 P-18ESect-0.1 P-19ESect-0.1 P-20ESect-0.1 P-21ESect-0.1 P-22ESect-0.1 P-23ESect-0.1 P-24ESect-0.1 P-25ESect-0.1 P-26ESect-0.1 P-27ESect-0.1 P-28ESect-0.1 P-29ESect-0.1 P-30ESect-0.1 P-31ESect-0.1 P-32ESect-0.1 P-33ESect-0.1 P-34ESect-0.1 P-35ESect-0.1 P-36ESect-0.1 P-37ESect-0.1 P-38ESect-0.1 P-39ESect-0.1 P-40ESect-0.1 P-41ESect-0.1 P-42ESect-0.1 P-43ESect-0.1 P-44ESect-0.1 P-45ESect-0.1 P-46ESect-0.1 P-47ESect-0.1 P-48ESect-0.1 P-49ESect-0.1 P-50ESect-0.2 P-1ESect-0.2 P-2ESect-0.2 P-3ESect-0.2 P-4ESect-0.2 P-5ESect-0.2 P-6ESect-0.2 P-7ESect-0.2 P-8ESect-0.2 P-9ESect-0.2 P-10ESect-0.2 P-11ESect-0.2 P-12ESect-0.2 P-13ESect-0.2 P-14ESect-0.2 P-15ESect-0.2 P-16ESect-0.2 P-17ESect-0.2 P-18ESect-0.2 P-19ESect-0.2 P-20ESect-0.2 P-21ESect-0.2 P-22ESect-0.2 P-23ESect-0.2 P-24ESect-0.2 P-25ESect-0.2 P-26ESect-0.2 P-27ESect-0.2 P-28ESect-0.2 P-29ESect-0.2 P-30ESect-0.2 P-31ESect-0.2 P-32ESect-0.2 P-33ESect-0.2 P-34ESect-0.2 P-35ESect-0.2 P-36ESect-0.2 P-37ESect-0.2 P-38ESect-0.2 P-39ESect-0.2 P-40ESect-0.2 P-41ESect-0.2 P-42ESect-0.2 P-43ESect-0.2 P-44ESect-0.2 P-45ESect-0.2 P-46ESect-0.2 P-47ESect-0.2 P-48ESect-0.2 P-49ESect-0.2 P-50ESect-0.2 P-51ESect-0.2 P-52ESect-0.2 P-53ESect-0.2 P-54ESect-0.2 P-55ESect-0.2 P-56ESect-0.2 P-57ESect-0.2 P-58ESect-0.2 P-59ESect-0.2 P-60ESect-0.2 P-61ESect-0.2 P-62ESect-0.2 P-63ESect-0.2 P-64ESect-0.2 P-65ESect-0.2 P-66ESect-0.2 P-67ESect-0.2 P-68ESect-0.2 P-69ESect-0.2 P-70ESect-0.2 P-71ESect-0.2 P-72ESect-0.2 P-73ESect-0.2 P-74ESect-0.2 P-75ESect-0.2 P-76ESect-0.2 P-77ESect-0.2 P-78ESect-0.2 P-79ESect-0.2 P-80ESect-0.2 P-81ESect-0.2 P-82ESect-0.2 P-83ESect-0.2 P-84ESect-0.2 P-85ESect-0.2 P-86ESect-0.2 P-87ESect-0.2 P-88ESect-0.2 P-89ESect-0.2 P-90ESect-0.2 P-91ESect-0.2 P-92ESect-0.2 P-93ESect-0.2 P-94ESect-0.2 P-95ESect-0.2 P-96ESect-0.2 P-97ESect-0.2 P-98ESect-0.2 P-99ESect-0.2 P-100ESect-0.2 P-101ESect-0.2 P-102ESect-0.2 P-103ESect-0.2 P-104ESect-0.2 P-105ESect-0.2 P-106ESect-0.2 P-107ESect-0.2 P-108ESect-0.2 P-109ESect-0.2 P-110ESect-0.2 P-111ESect-0.2 P-112ESect-0.2 P-113ESect-0.2 P-114ESect-0.2 P-115ESect-0.2 P-116ESect-0.2 P-117ESect-0.2 P-118ESect-0.2 P-119ESect-0.2 P-120ESect-0.3 P-1ESect-0.3 P-2ESect-0.3 P-3ESect-0.3 P-4ESect-0.3 P-5ESect-0.3 P-6ESect-0.3 P-7ESect-0.3 P-8ESect-0.3 P-9ESect-0.3 P-10ESect-0.3 P-11ESect-0.3 P-12ESect-0.3 P-13ESect-0.3 P-14ESect-0.3 P-15ESect-0.3 P-16ESect-0.3 P-17ESect-0.3 P-18ESect-0.3 P-19ESect-0.3 P-20ESect-0.3 P-21ESect-0.3 P-22ESect-0.3 P-23ESect-0.3 P-24ESect-0.3 P-25ESect-0.3 P-26ESect-0.3 P-27ESect-0.3 P-28ESect-0.3 P-29ESect-0.3 P-30ESect-0.3 P-31ESect-0.3 P-32ESect-0.3 P-33ESect-0.3 P-34ESect-0.3 P-35ESect-0.3 P-36ESect-0.3 P-37ESect-0.3 P-38ESect-0.3 P-39ESect-0.3 P-40ESect-0.3 P-41ESect-0.3 P-42ESect-0.3 P-43ESect-0.3 P-44ESect-0.3 P-45ESect-0.3 P-46ESect-0.3 P-47ESect-0.3 P-48ESect-0.4 P-1ESect-0.4 P-2ESect-0.4 P-3ESect-0.4 P-4ESect-0.4 P-5ESect-0.4 P-6ESect-0.4 P-7ESect-0.4 P-8ESect-0.4 P-9ESect-0.4 P-10ESect-0.4 P-11ESect-0.4 P-12ESect-0.4 P-13ESect-0.4 P-14ESect-0.4 P-15ESect-0.4 P-16ESect-0.5 P-1ESect-0.5 P-2ESect-0.5 P-3ESect-0.5 P-4ESect-0.5 P-5ESect-0.5 P-6ESect-0.5 P-7ESect-0.5 P-8ESect-0.5 P-9ESect-0.5 P-10ESect-0.5 P-11ESect-0.5 P-12ESect-0.5 P-13ESect-0.5 P-14ESect-0.5 P-15ESect-0.5 P-16ESect-0.5 P-17ESect-0.5 P-18ESect-0.5 P-19ESect-0.5 P-20ESect-0.5 P-21ESect-0.5 P-22ESect-0.5 P-23ESect-0.5 P-24ESect-0.5 P-25ESect-0.5 P-26ESect-0.5 P-27ESect-0.5 P-28ESect-0.5 P-29ESect-0.5 P-30ESect-0.5 P-31ESect-0.5 P-32ESect-0.5 P-33ESect-0.5 P-34ESect-0.5 P-35ESect-0.5 P-36ESect-0.5 P-37ESect-0.5 P-38ESect-0.5 P-39ESect-0.5 P-40ESect-0.5 P-41ESect-0.5 P-42ESect-0.5 P-43ESect-0.5 P-44ESect-0.6 P-1ESect-0.6 P-2ESect-0.6 P-3ESect-0.6 P-4ESect-0.6 P-5ESect-0.6 P-6ESect-0.6 P-7ESect-0.6 P-8ESect-0.6 P-9ESect-0.6 P-10ESect-0.6 P-11ESect-0.6 P-12ESect-0.6 P-13ESect-0.6 P-14ESect-0.6 P-15ESect-0.6 P-16ESect-0.6 P-17ESect-0.6 P-18ESect-0.6 P-19ESect-0.6 P-20ESect-0.6 P-21ESect-0.6 P-22ESect-0.6 P-23ESect-0.6 P-24ESect-0.6 P-25ESect-0.6 P-26ESect-0.7 P-1ESect-0.7 P-2ESect-0.7 P-3ESect-0.7 P-4ESect-0.7 P-5ESect-0.7 P-6ESect-0.7 P-7ESect-0.7 P-8ESect-0.7 P-9ESect-0.7 P-10ESect-0.7 P-11ESect-0.7 P-12ESect-0.7 P-13ESect-0.7 P-14ESect-0.7 P-15ESect-0.7 P-16ESect-0.7 P-17ESect-0.7 P-18ESect-0.7 P-19ESect-0.7 P-20ESect-0.8 P-1ESect-0.8 P-2ESect-0.8 P-3ESect-0.8 P-4ESect-0.8 P-5ESect-0.8 P-6ESect-0.8 P-7ESect-0.8 P-8ESect-0.8 P-9ESect-0.8 P-10ESect-0.8 P-11ESect-0.8 P-12ESect-0.8 P-13ESect-0.8 P-14ESect-0.8 P-15ESect-0.8 P-16ESect-0.8 P-17ESect-0.8 P-18ESect-0.8 P-19ESect-0.8 P-20ESect-0.8 P-21ESect-0.8 P-22ESect-0.8 P-23ESect-0.8 P-24ESect-0.8 P-25ESect-0.8 P-26ESect-0.8 P-27ESect-0.8 P-28ESect-0.8 P-29ESect-0.8 P-30ESect-0.8 P-31ESect-0.8 P-32ESect-0.8 P-33ESect-0.8 P-34ESect-0.8 P-35ESect-0.8 P-36ESect-0.8 P-37ESect-0.8 P-38ESect-0.8 P-39ESect-0.8 P-40ESect-0.8 P-41ESect-0.8 P-42ESect-0.8 P-43ESect-0.8 P-44ESect-0.8 P-45ESect-0.8 P-46ESect-0.8 P-47ESect-0.8 P-48ESect-0.8 P-49ESect-0.8 P-50ESect-0.8 P-51ESect-0.8 P-52ESect-0.8 P-53ESect-0.8 P-54ESect-0.8 P-55ESect-0.8 P-56E

Single Variable Calculus: Early Transcendentals, Volume I

Multivariable Calculus

Calculus: An Applied Approach (MindTap Course List)

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: Early Transcendental Functions

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculus (MindTap Course List)

Calculus: Early Transcendentals

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Essentials Of Statistics

Calculus (MindTap Course List)

Statistics for The Behavioral Sciences (MindTap Course List)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Single Variable Calculus

Understanding Basic Statistics

Finite Mathematics

Probability and Statistics for Engineering and the Sciences

Contemporary Mathematics for Business & Consumers

Mathematical Excursions (MindTap Course List)

Elementary Geometry For College Students, 7e

Elementary Technical Mathematics

Mathematical Applications for the Management, Life, and Social Sciences

Intermediate Algebra

Single Variable Calculus: Early Transcendentals

Calculus of a Single Variable

Elements Of Modern Algebra

Trigonometry (MindTap Course List)

Study Guide for Stewart's Multivariable Calculus, 8th

Calculus: Early Transcendental Functions (MindTap Course List)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Finite Mathematics for the Managerial, Life, and Social Sciences

Elementary Geometry for College Students