Chapter 4.CR, Problem 1CR

Intermediate Algebra

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

Chapter
Section

Intermediate Algebra

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

For Problems 1-6, simplify each rational expression. 26 x 2 y 3 39 x 4 y 2

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, y do not assume values such that q(x,y)=0.

For values of x, 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)â‹…k(x,y)q(x,y)â‹…k(x,y)=p(x,y)q(x,y).

Calculation:

The given rational expression is 26x2y339x4y2.

The factorisation of 26x2y3 is 26x2y3=2â‹…13â‹…x2â‹…y2â‹…y and of 39x4y2 is 39x4y2=3â‹…13â‹…x2â‹…x2â‹…y2

Write the given fraction as,

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

In Exercises 69-74, rationalize the numerator. 70. x324

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

Rational Inequalities Solve the inequality. 20. 4x225x290

Precalculus: Mathematics for Calculus (Standalone Book)

What is the value of (X + 1) for the following scores: 0, 1, 4, 2? a. 8 b. 9 c. 11 d. 16

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