   Chapter 4.2, Problem 29PS

Chapter
Section
Textbook Problem

For Problems 13-50, perform the indicated operations involving rational expressions. Express final answers in simplest form. (Objectives 2, 4 and 5) 3 n 2 + 15 n − 18 3 n 2 + 10 n − 48 ⋅ 6 n 2 − n − 40 4 n 2 + 6 n − 10

To determine

To Perform:

The given operation and reduce it in simplest form.

Explanation

Appro:

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

If ab and cd are rational numbers or expression, then the rational multiplication is formed by writing the numerator of the product as product of numerators and denominator of the product as product of the denominators.

abcd=acbd=acbd

If m and k are nonzero integers and n is any integer, then the two fractions nkmk and nm follow the fundamental principle of fractions as given below.

nkmk=nm.

Calculation:

The given rational expression is 3n2+15n183n2+10n486n2n404n2+6n10.

Use rational multiplication and factorization,

3n2+15n183n2+10n486n2n404n2+6n10=(3n2+15n18)(6n2n40)(3n2+10n48)(4n2+6n10)=3n2+18n3n183n2+18n8n48<

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

Evaluate the definite integral. 12e1/xx2dx

Single Variable Calculus: Early Transcendentals, Volume I

In Exercise 25-30, find the rules for the composite functions f g and g f. 25. f(x) = x2 + x + 1; g(x) = x2

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

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Finite Mathematics and Applied Calculus (MindTap Course List)

The length of a = 4i – j – 2k is: 11 21

Study Guide for Stewart's Multivariable Calculus, 8th 