BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Solutions

Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

For Problems 9-50, simplify each rational expression. (Objective 2)

4 x 2 y + 8 x y 2 12 y 3 18 x 3 y 12 x 2 y 2 6 x y 3

To determine

To Find:

The expression by simplifying the given rational expression.

Explanation

Approach:

A rational expression is defined as the quotient obtained by a division of two polynomials in the form of p(x,y)q(x,y) where p(x,y) and q(x,y) are polynomials in such a way that the variables x and y do not assume values such that q(x,y)=0.

For values of x and y where q(x,y) and k(x,y) are both nonzero expressions, then by the fundamental principle of fractions, for all polynomials p(x,y), the following holds.

p(x,y)k(x,y)q(x,y)k(x,y)=p(x,y)q(x,y).

Calculation:

The given rational expression is 4x2y+8xy212y318x3y12x2y26xy3.

Factorise the numerator 4x2y+8xy212y3.

4x2y+8xy212y3=4y(x2+2xy3y2)=4y(x2+3xyxy3y2)=4y{x(x+3y)y(x+3y)}=4y(xy)(x+3y)

Factorise the denominator 18x3y12x2y26xy3.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-4.1 P-1PSSect-4.1 P-2PSSect-4.1 P-3PSSect-4.1 P-4PSSect-4.1 P-5PSSect-4.1 P-6PSSect-4.1 P-7PSSect-4.1 P-8PSSect-4.1 P-9PSSect-4.1 P-10PSSect-4.1 P-11PSSect-4.1 P-12PSSect-4.1 P-13PSSect-4.1 P-14PSSect-4.1 P-15PSSect-4.1 P-16PSSect-4.1 P-17PSSect-4.1 P-18PSSect-4.1 P-19PSSect-4.1 P-20PSSect-4.1 P-21PSSect-4.1 P-22PSSect-4.1 P-23PSSect-4.1 P-24PSSect-4.1 P-25PSSect-4.1 P-26PSSect-4.1 P-27PSSect-4.1 P-28PSSect-4.1 P-29PSSect-4.1 P-30PSSect-4.1 P-31PSSect-4.1 P-32PSSect-4.1 P-33PSSect-4.1 P-34PSSect-4.1 P-35PSSect-4.1 P-36PSSect-4.1 P-37PSSect-4.1 P-38PSSect-4.1 P-39PSSect-4.1 P-40PSSect-4.1 P-41PSSect-4.1 P-42PSSect-4.1 P-43PSSect-4.1 P-44PSSect-4.1 P-45PSSect-4.1 P-46PSSect-4.1 P-47PSSect-4.1 P-48PSSect-4.1 P-49PSSect-4.1 P-50PSSect-4.1 P-51PSSect-4.1 P-52PSSect-4.1 P-53PSSect-4.1 P-54PSSect-4.1 P-55PSSect-4.1 P-56PSSect-4.1 P-57PSSect-4.1 P-58PSSect-4.1 P-59PSSect-4.1 P-60PSSect-4.1 P-61PSSect-4.1 P-62PSSect-4.1 P-63PSSect-4.1 P-64PSSect-4.1 P-65PSSect-4.1 P-66PSSect-4.1 P-67PSSect-4.1 P-68PSSect-4.1 P-69PSSect-4.1 P-70PSSect-4.1 P-71PSSect-4.1 P-72PSSect-4.2 P-1CQSect-4.2 P-2CQSect-4.2 P-3CQSect-4.2 P-4CQSect-4.2 P-5CQSect-4.2 P-6CQSect-4.2 P-7CQSect-4.2 P-8CQSect-4.2 P-9CQSect-4.2 P-10CQSect-4.2 P-1PSSect-4.2 P-2PSSect-4.2 P-3PSSect-4.2 P-4PSSect-4.2 P-5PSSect-4.2 P-6PSSect-4.2 P-7PSSect-4.2 P-8PSSect-4.2 P-9PSSect-4.2 P-10PSSect-4.2 P-11PSSect-4.2 P-12PSSect-4.2 P-13PSSect-4.2 P-14PSSect-4.2 P-15PSSect-4.2 P-16PSSect-4.2 P-17PSSect-4.2 P-18PSSect-4.2 P-19PSSect-4.2 P-20PSSect-4.2 P-21PSSect-4.2 P-22PSSect-4.2 P-23PSSect-4.2 P-24PSSect-4.2 P-25PSSect-4.2 P-26PSSect-4.2 P-27PSSect-4.2 P-28PSSect-4.2 P-29PSSect-4.2 P-30PSSect-4.2 P-31PSSect-4.2 P-32PSSect-4.2 P-33PSSect-4.2 P-34PSSect-4.2 P-35PSSect-4.2 P-36PSSect-4.2 P-37PSSect-4.2 P-38PSSect-4.2 P-39PSSect-4.2 P-40PSSect-4.2 P-41PSSect-4.2 P-42PSSect-4.2 P-43PSSect-4.2 P-44PSSect-4.2 P-45PSSect-4.2 P-46PSSect-4.2 P-47PSSect-4.2 P-48PSSect-4.2 P-49PSSect-4.2 P-50PSSect-4.2 P-51PSSect-4.2 P-52PSSect-4.2 P-53PSSect-4.3 P-1CQSect-4.3 P-2CQSect-4.3 P-3CQSect-4.3 P-4CQSect-4.3 P-5CQSect-4.3 P-6CQSect-4.3 P-7CQSect-4.3 P-8CQSect-4.3 P-9CQSect-4.3 P-10CQSect-4.3 P-1PSSect-4.3 P-2PSSect-4.3 P-3PSSect-4.3 P-4PSSect-4.3 P-5PSSect-4.3 P-6PSSect-4.3 P-7PSSect-4.3 P-8PSSect-4.3 P-9PSSect-4.3 P-10PSSect-4.3 P-11PSSect-4.3 P-12PSSect-4.3 P-13PSSect-4.3 P-14PSSect-4.3 P-15PSSect-4.3 P-16PSSect-4.3 P-17PSSect-4.3 P-18PSSect-4.3 P-19PSSect-4.3 P-20PSSect-4.3 P-21PSSect-4.3 P-22PSSect-4.3 P-23PSSect-4.3 P-24PSSect-4.3 P-25PSSect-4.3 P-26PSSect-4.3 P-27PSSect-4.3 P-28PSSect-4.3 P-29PSSect-4.3 P-30PSSect-4.3 P-31PSSect-4.3 P-32PSSect-4.3 P-33PSSect-4.3 P-34PSSect-4.3 P-35PSSect-4.3 P-36PSSect-4.3 P-37PSSect-4.3 P-38PSSect-4.3 P-39PSSect-4.3 P-40PSSect-4.3 P-41PSSect-4.3 P-42PSSect-4.3 P-43PSSect-4.3 P-44PSSect-4.3 P-45PSSect-4.3 P-46PSSect-4.3 P-47PSSect-4.3 P-48PSSect-4.3 P-49PSSect-4.3 P-50PSSect-4.3 P-51PSSect-4.3 P-52PSSect-4.3 P-53PSSect-4.3 P-54PSSect-4.3 P-55PSSect-4.3 P-56PSSect-4.3 P-57PSSect-4.3 P-58PSSect-4.3 P-59PSSect-4.3 P-60PSSect-4.3 P-61PSSect-4.3 P-62PSSect-4.3 P-63PSSect-4.3 P-64PSSect-4.3 P-65PSSect-4.3 P-66PSSect-4.3 P-67PSSect-4.3 P-68PSSect-4.3 P-69PSSect-4.3 P-70PSSect-4.3 P-71PSSect-4.3 P-72PSSect-4.4 P-1CQSect-4.4 P-2CQSect-4.4 P-3CQSect-4.4 P-4CQSect-4.4 P-5CQSect-4.4 P-6CQSect-4.4 P-7CQSect-4.4 P-8CQSect-4.4 P-1PSSect-4.4 P-2PSSect-4.4 P-3PSSect-4.4 P-4PSSect-4.4 P-5PSSect-4.4 P-6PSSect-4.4 P-7PSSect-4.4 P-8PSSect-4.4 P-9PSSect-4.4 P-10PSSect-4.4 P-11PSSect-4.4 P-12PSSect-4.4 P-13PSSect-4.4 P-14PSSect-4.4 P-15PSSect-4.4 P-16PSSect-4.4 P-17PSSect-4.4 P-18PSSect-4.4 P-19PSSect-4.4 P-20PSSect-4.4 P-21PSSect-4.4 P-22PSSect-4.4 P-23PSSect-4.4 P-24PSSect-4.4 P-25PSSect-4.4 P-26PSSect-4.4 P-27PSSect-4.4 P-28PSSect-4.4 P-29PSSect-4.4 P-30PSSect-4.4 P-31PSSect-4.4 P-32PSSect-4.4 P-33PSSect-4.4 P-34PSSect-4.4 P-35PSSect-4.4 P-36PSSect-4.4 P-37PSSect-4.4 P-38PSSect-4.4 P-39PSSect-4.4 P-40PSSect-4.4 P-41PSSect-4.4 P-42PSSect-4.4 P-43PSSect-4.4 P-44PSSect-4.4 P-45PSSect-4.4 P-46PSSect-4.4 P-47PSSect-4.4 P-48PSSect-4.4 P-49PSSect-4.4 P-50PSSect-4.4 P-51PSSect-4.4 P-52PSSect-4.4 P-53PSSect-4.4 P-54PSSect-4.4 P-55PSSect-4.4 P-56PSSect-4.4 P-57PSSect-4.4 P-58PSSect-4.4 P-59PSSect-4.4 P-60PSSect-4.4 P-61PSSect-4.4 P-62PSSect-4.4 P-63PSSect-4.4 P-64PSSect-4.4 P-65PSSect-4.4 P-66PSSect-4.5 P-1CQSect-4.5 P-2CQSect-4.5 P-3CQSect-4.5 P-4CQSect-4.5 P-5CQSect-4.5 P-6CQSect-4.5 P-7CQSect-4.5 P-8CQSect-4.5 P-9CQSect-4.5 P-10CQSect-4.5 P-1PSSect-4.5 P-2PSSect-4.5 P-3PSSect-4.5 P-4PSSect-4.5 P-5PSSect-4.5 P-6PSSect-4.5 P-7PSSect-4.5 P-8PSSect-4.5 P-9PSSect-4.5 P-10PSSect-4.5 P-11PSSect-4.5 P-12PSSect-4.5 P-13PSSect-4.5 P-14PSSect-4.5 P-15PSSect-4.5 P-16PSSect-4.5 P-17PSSect-4.5 P-18PSSect-4.5 P-19PSSect-4.5 P-20PSSect-4.5 P-21PSSect-4.5 P-22PSSect-4.5 P-23PSSect-4.5 P-24PSSect-4.5 P-25PSSect-4.5 P-26PSSect-4.5 P-27PSSect-4.5 P-28PSSect-4.5 P-29PSSect-4.5 P-30PSSect-4.5 P-31PSSect-4.5 P-32PSSect-4.5 P-33PSSect-4.5 P-34PSSect-4.5 P-35PSSect-4.5 P-36PSSect-4.5 P-37PSSect-4.5 P-38PSSect-4.5 P-39PSSect-4.5 P-40PSSect-4.5 P-41PSSect-4.5 P-42PSSect-4.5 P-43PSSect-4.5 P-44PSSect-4.5 P-45PSSect-4.5 P-46PSSect-4.5 P-47PSSect-4.5 P-48PSSect-4.5 P-49PSSect-4.5 P-50PSSect-4.5 P-51PSSect-4.5 P-52PSSect-4.5 P-53PSSect-4.5 P-54PSSect-4.5 P-55PSSect-4.5 P-56PSSect-4.5 P-57PSSect-4.5 P-58PSSect-4.5 P-59PSSect-4.5 P-60PSSect-4.5 P-61PSSect-4.5 P-62PSSect-4.5 P-63PSSect-4.5 P-64PSSect-4.5 P-65PSSect-4.5 P-66PSSect-4.5 P-67PSSect-4.6 P-1CQSect-4.6 P-2CQSect-4.6 P-3CQSect-4.6 P-4CQSect-4.6 P-5CQSect-4.6 P-6CQSect-4.6 P-7CQSect-4.6 P-8CQSect-4.6 P-9CQSect-4.6 P-10CQSect-4.6 P-1PSSect-4.6 P-2PSSect-4.6 P-3PSSect-4.6 P-4PSSect-4.6 P-5PSSect-4.6 P-6PSSect-4.6 P-7PSSect-4.6 P-8PSSect-4.6 P-9PSSect-4.6 P-10PSSect-4.6 P-11PSSect-4.6 P-12PSSect-4.6 P-13PSSect-4.6 P-14PSSect-4.6 P-15PSSect-4.6 P-16PSSect-4.6 P-17PSSect-4.6 P-18PSSect-4.6 P-19PSSect-4.6 P-20PSSect-4.6 P-21PSSect-4.6 P-22PSSect-4.6 P-23PSSect-4.6 P-24PSSect-4.6 P-25PSSect-4.6 P-26PSSect-4.6 P-27PSSect-4.6 P-28PSSect-4.6 P-29PSSect-4.6 P-30PSSect-4.6 P-31PSSect-4.6 P-32PSSect-4.6 P-33PSSect-4.6 P-34PSSect-4.6 P-35PSSect-4.6 P-36PSSect-4.6 P-37PSSect-4.6 P-38PSSect-4.6 P-39PSSect-4.6 P-40PSSect-4.6 P-41PSSect-4.6 P-42PSSect-4.6 P-43PSSect-4.6 P-44PSSect-4.6 P-45PSSect-4.6 P-46PSSect-4.6 P-47PSSect-4.6 P-48PSSect-4.6 P-49PSSect-4.6 P-50PSSect-4.6 P-51PSSect-4.6 P-52PSSect-4.6 P-53PSSect-4.6 P-54PSSect-4.6 P-55PSSect-4.6 P-56PSSect-4.6 P-57PSSect-4.6 P-58PSSect-4.6 P-59PSSect-4.7 P-1CQSect-4.7 P-2CQSect-4.7 P-3CQSect-4.7 P-4CQSect-4.7 P-5CQSect-4.7 P-6CQSect-4.7 P-7CQSect-4.7 P-8CQSect-4.7 P-9CQSect-4.7 P-10CQSect-4.7 P-1PSSect-4.7 P-2PSSect-4.7 P-3PSSect-4.7 P-4PSSect-4.7 P-5PSSect-4.7 P-6PSSect-4.7 P-7PSSect-4.7 P-8PSSect-4.7 P-9PSSect-4.7 P-10PSSect-4.7 P-11PSSect-4.7 P-12PSSect-4.7 P-13PSSect-4.7 P-14PSSect-4.7 P-15PSSect-4.7 P-16PSSect-4.7 P-17PSSect-4.7 P-18PSSect-4.7 P-19PSSect-4.7 P-20PSSect-4.7 P-21PSSect-4.7 P-22PSSect-4.7 P-23PSSect-4.7 P-24PSSect-4.7 P-25PSSect-4.7 P-26PSSect-4.7 P-27PSSect-4.7 P-28PSSect-4.7 P-29PSSect-4.7 P-30PSSect-4.7 P-31PSSect-4.7 P-32PSSect-4.7 P-33PSSect-4.7 P-34PSSect-4.7 P-35PSSect-4.7 P-36PSSect-4.7 P-37PSSect-4.7 P-38PSSect-4.7 P-39PSSect-4.7 P-40PSSect-4.7 P-41PSSect-4.7 P-42PSSect-4.7 P-43PSSect-4.7 P-44PSSect-4.7 P-45PSSect-4.7 P-46PSSect-4.7 P-47PSSect-4.7 P-48PSSect-4.7 P-49PSSect-4.7 P-50PSSect-4.7 P-51PSSect-4.7 P-52PSSect-4.7 P-53PSSect-4.7 P-54PSSect-4.7 P-55PSSect-4.7 P-56PSSect-4.7 P-57PSSect-4.7 P-58PSSect-4.S P-1SSect-4.S P-2SSect-4.S P-3SSect-4.S P-4SSect-4.S P-5SSect-4.S P-6SSect-4.S P-7SSect-4.S P-8SSect-4.S P-9SSect-4.S P-10SSect-4.S P-11SSect-4.S P-12SSect-4.S P-13SSect-4.S P-14SSect-4.CR P-1CRSect-4.CR P-2CRSect-4.CR P-3CRSect-4.CR P-4CRSect-4.CR P-5CRSect-4.CR P-6CRSect-4.CR P-7CRSect-4.CR P-8CRSect-4.CR P-9CRSect-4.CR P-10CRSect-4.CR P-11CRSect-4.CR P-12CRSect-4.CR P-13CRSect-4.CR P-14CRSect-4.CR P-15CRSect-4.CR P-16CRSect-4.CR P-17CRSect-4.CR P-18CRSect-4.CR P-19CRSect-4.CR P-20CRSect-4.CR P-21CRSect-4.CR P-22CRSect-4.CR P-23CRSect-4.CR P-24CRSect-4.CR P-25CRSect-4.CR P-26CRSect-4.CR P-27CRSect-4.CR P-28CRSect-4.CR P-29CRSect-4.CR P-30CRSect-4.CR P-31CRSect-4.CR P-32CRSect-4.CR P-33CRSect-4.CR P-34CRSect-4.CR P-35CRSect-4.CR P-36CRSect-4.CR P-37CRSect-4.CR P-38CRSect-4.CR P-39CRSect-4.CR P-40CRSect-4.CR P-41CRSect-4.CR P-42CRSect-4.CR P-43CRSect-4.CR P-44CRSect-4.CR P-45CRSect-4.CR P-46CRSect-4.CR P-47CRSect-4.CR P-48CRSect-4.CR P-49CRSect-4.CR P-50CRSect-4.CR P-51CRSect-4.CR P-52CRSect-4.CR P-53CRSect-4.CR P-54CRSect-4.CT P-1CTSect-4.CT P-2CTSect-4.CT P-3CTSect-4.CT P-4CTSect-4.CT P-5CTSect-4.CT P-6CTSect-4.CT P-7CTSect-4.CT P-8CTSect-4.CT P-9CTSect-4.CT P-10CTSect-4.CT P-11CTSect-4.CT P-12CTSect-4.CT P-13CTSect-4.CT P-14CTSect-4.CT P-15CTSect-4.CT P-16CTSect-4.CT P-17CTSect-4.CT P-18CTSect-4.CT P-19CTSect-4.CT P-20CTSect-4.CT P-21CTSect-4.CT P-22CTSect-4.CT P-23CTSect-4.CT P-24CTSect-4.CT P-25CTSect-4.CM P-1CMSect-4.CM P-2CMSect-4.CM P-3CMSect-4.CM P-4CMSect-4.CM P-5CMSect-4.CM P-6CMSect-4.CM P-7CMSect-4.CM P-8CMSect-4.CM P-9CMSect-4.CM P-10CMSect-4.CM P-11CMSect-4.CM P-12CMSect-4.CM P-13CMSect-4.CM P-14CMSect-4.CM P-15CMSect-4.CM P-16CMSect-4.CM P-17CMSect-4.CM P-18CMSect-4.CM P-19CMSect-4.CM P-20CMSect-4.CM P-21CMSect-4.CM P-22CMSect-4.CM P-23CMSect-4.CM P-24CMSect-4.CM P-25CMSect-4.CM P-26CMSect-4.CM P-27CMSect-4.CM P-28CMSect-4.CM P-29CMSect-4.CM P-30CMSect-4.CM P-31CMSect-4.CM P-32CMSect-4.CM P-33CMSect-4.CM P-34CMSect-4.CM P-35CMSect-4.CM P-36CMSect-4.CM P-37CMSect-4.CM P-38CMSect-4.CM P-39CMSect-4.CM P-40CMSect-4.CM P-41CMSect-4.CM P-42CMSect-4.CM P-43CMSect-4.CM P-44CMSect-4.CM P-45CMSect-4.CM P-46CMSect-4.CM P-47CMSect-4.CM P-48CMSect-4.CM P-49CMSect-4.CM P-50CMSect-4.CM P-51CMSect-4.CM P-52CMSect-4.CM P-53CMSect-4.CM P-54CMSect-4.CM P-55CMSect-4.CM P-56CM

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Evaluate the expression sin Exercises 116. (32)3

Finite Mathematics and Applied Calculus (MindTap Course List)

Evaluate the integral. 75. dxxlnxx

Calculus: Early Transcendentals

What is the slope of a nonvertical line? What can you say about the slope of a vertical line?

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

If g() = sin , find g(/6).

Single Variable Calculus: Early Transcendentals, Volume I

True or False: converges absolutely.

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

For and , a × b =

Study Guide for Stewart's Multivariable Calculus, 8th