1. Simplify the rational expression. y2 − 2y − 3 4y2 + 10y + 6

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.7: Rational Expressions
Problem 22E
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1. Simplify the rational expression.

y2 − 2y − 3
4y2 + 10y + 6

 

2. Simplify the expression. (This type of expression arises in calculus when using the "quotient rule.")

3
 
x + 4
  2
 
 
x − 10
  2
 
 − 
 
x + 4
  3
 
(2)(x − 10)
 
x − 10
  4
 

 

 

 

 3.  Rationalize the denominator.

7(x − y)
  x
 − 
  y
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