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,...
Related questions
Question
![Question 5: Subtract:
4x
Зх
x2 + 4x – 5
х? +х — 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44cfbb35-685f-471e-9e82-eaa0867f9b6a%2Fd943d509-c634-42bd-9c5d-947941f4a93a%2Fuzmhl3.png&w=3840&q=75)
Transcribed Image Text:Question 5: Subtract:
4x
Зх
x2 + 4x – 5
х? +х — 2
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given expression:
![4х
Зх
х2 + 4x — 5 х2 +x — 2
To Find: Subtract given expression.](https://content.bartleby.com/qna-images/answer/44cfbb35-685f-471e-9e82-eaa0867f9b6a/815a278e-c7d8-4c03-93ca-a0fb8d59bff4/nc0buwy.png)
Step 2
Begin with factorizing the denominator,
![Зx
4x
х2 + 5х — х —5
4x
х2 + 2х — х — 2
Зx
x(x+5) – 1(x + 5)
4х
x(x+2) – 1(x+2)
Зx
(x – 1)(x + 5)
(x – 1)(x+ 2)
Next, determine the LCM of the denominator,
The LCM of the denominators is (x – 1)(x + 5)(x+2).](https://content.bartleby.com/qna-images/answer/44cfbb35-685f-471e-9e82-eaa0867f9b6a/815a278e-c7d8-4c03-93ca-a0fb8d59bff4/5spolba.png)
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