/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 105 In the following exercises, (a) ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 105 (page 668)

In the following exercises, (a) find the LCD for the given rational expressions (b) rewrite them as equivalent rational expressions with the lowest common denominator.

23d2+14d-5,5d3d2-19d+6

Short Answer

Expert verified

(a) The LCD is (3d-1)(d+5)(d-6).

(b) The expressions with LCD are2(d-6)(3d-1)(d+5)(d-6),5d(d+5)(3d-1)(d-6)(d+5).

Step by step solution

01

Part (a) Step 1. Given Information

The given expressions are23d2+14d-5,5d3d2-19d+6.

02

Part (a) Step 2. Find LCD   

  • Factor the denominators of both the given rational expressions.

3d2+14d-5=(3d-1)(d+5)3d2-19d+6=(3d-1)(d-6)

  • So, the LCD is (3d-1)(d+5)(d-6).
03

Part (b) Step 1. Given Information   

The given expressions are23d2+14d-5,5d3d2-19d+6

04

Part (b) Step 2. Express the expressions with LCD   

  • Multiply and divide the expressions by the missing factor to make the denominator equal to LCD.

23d2+14d-5=2(d-6)(3d-1)(d+5)(d-6)5d3d2-19d+6=5d(d+5)(3d-1)(d-6)(d+5)

  • So, the expressions with equal denominators are role="math" localid="1645521296602" 2(d-6)(3d-1)(d+5)(d-6),5d(d+5)(3d-1)(d-6)(d+5).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve the equation c=2a+b5for the variable a.

In the following exercises, divide the rational expressions.

3s2s2-16梅s3-4s2+16ss3-64

In the following exercise, perform the indicated operation:

32x2+5x+2-12x2+3x+1

In the following expression, perform the indicated operation:

5aa-2+9a-2a+18a2-2a

Divide the rational expression3y2-12y-634y+3梅(6y2-42y)
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.