Hi, there need help how do I find the correct LCD: 3/x+1  +  2/x2

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Hi, there need help how do I find the correct LCD: 3/x+1  +  2/x2

Expert Solution
Step 1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

Here find the LCM of the terms (x+1) and x2.

Step 2

Find the LCM of the denominators as follows.

Algebra homework question answer, Step 2, Image 1
Step 3

The LCM is the smallest number that all of the numbers divide into evenly.

  1. List the prime factors of each number.
  2. Multiply each factor the greatest number of times it occurs in either number.
Algebra homework question answer, Step 3, Image 1
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