Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 105

Intermediate Algebra
Found in: Page 668
Intermediate Algebra

Intermediate Algebra

Book edition OER 2017
Author(s) OPENSTAX
Pages 1346 pages
ISBN 9780998625720

Answers without the blur.

Just sign up for free and you're in.


Short Answer

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.


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

(b) The expressions with LCD are 2(d-6)(3d-1)(d+5)(d-6),5d(d+5)(3d-1)(d-6)(d+5).

See the step by step solution

Step by Step Solution

Part (a) Step 1. Given Information

The given expressions are 23d2+14d-5,5d3d2-19d+6.

Part (a) Step 2. Find LCD   

  • Factor the denominators of both the given rational expressions.


  • So, the LCD is (3d-1)(d+5)(d-6).

Part (b) Step 1. Given Information   

The given expressions are 23d2+14d-5,5d3d2-19d+6

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.


  • 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).

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.