Precalculus with Limits
Precalculus with Limits
3rd Edition
ISBN: 9781133947202
Author: Ron Larson
Publisher: Cengage Learning
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Chapter A.4, Problem 72E
To determine

To find : Rewrite the difference quotient by rationalizing the numerator

Expert Solution & Answer
Check Mark

Answer to Problem 72E

The simplified form is x+h−2−x−2h=1x+h−2+x−2

Explanation of Solution

Given information : The given rational expression is x+h−2−x−2h

The given ration expression is x+h−2−x−2h

To rationalize the numerator we multiply by its conjugate pair and then simplify

So, we have

  x+h−2−x−2h=x+h−2−x−2h×x+h−2+x−2x+h−2+x−2=(x+h−2)2−(x−2)2h(x+h−2+x−2)=x+h−2−x+2h(x+h−2+x−2)=hh(x+h−2+x−2)=1x+h−2+x−2 Using a2−b2=(a+b)(a−b)

This is the required simplified form.

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Chapter A.4, Problem 71E
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Chapter A.4, Problem 73E

Chapter A Solutions

Precalculus with Limits

Ch. A.1 - Prob. 1ECh. A.1 - Prob. 2ECh. A.1 - Prob. 3ECh. A.1 - Prob. 4ECh. A.1 - Prob. 5ECh. A.1 - Prob. 6ECh. A.1 - Prob. 7ECh. A.1 - Prob. 8ECh. A.1 - Prob. 9ECh. A.1 - Prob. 10E
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A.3 - Prob. 108ECh. A.4 - Prob. 1ECh. A.4 - Prob. 2ECh. A.4 - Prob. 3ECh. A.4 - Prob. 4ECh. A.4 - Prob. 5ECh. A.4 - Prob. 6ECh. A.4 - Prob. 7ECh. A.4 - Prob. 8ECh. A.4 - Prob. 9ECh. A.4 - Prob. 10ECh. A.4 - Prob. 11ECh. A.4 - Prob. 12ECh. A.4 - Prob. 13ECh. A.4 - Prob. 14ECh. A.4 - Prob. 15ECh. A.4 - Prob. 16ECh. A.4 - Prob. 17ECh. A.4 - Prob. 18ECh. A.4 - Prob. 19ECh. A.4 - Prob. 20ECh. A.4 - Prob. 21ECh. A.4 - Prob. 22ECh. A.4 - Prob. 23ECh. A.4 - Prob. 24ECh. A.4 - Prob. 25ECh. A.4 - Prob. 26ECh. A.4 - Prob. 27ECh. A.4 - Prob. 28ECh. A.4 - Prob. 29ECh. A.4 - Prob. 30ECh. A.4 - Prob. 31ECh. A.4 - Prob. 32ECh. A.4 - Prob. 33ECh. A.4 - Prob. 34ECh. A.4 - Prob. 35ECh. A.4 - Prob. 36ECh. A.4 - Prob. 37ECh. A.4 - Prob. 38ECh. A.4 - Prob. 39ECh. A.4 - Prob. 40ECh. A.4 - Prob. 41ECh. A.4 - Prob. 42ECh. A.4 - Prob. 43ECh. A.4 - Prob. 44ECh. A.4 - Prob. 45ECh. A.4 - Prob. 46ECh. A.4 - Prob. 47ECh. A.4 - Prob. 48ECh. A.4 - Prob. 49ECh. A.4 - Prob. 50ECh. A.4 - Prob. 51ECh. A.4 - Prob. 52ECh. 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A.5 - Prob. 24ECh. A.5 - Prob. 25ECh. A.5 - Prob. 26ECh. A.5 - Prob. 27ECh. A.5 - Prob. 28ECh. A.5 - Prob. 29ECh. A.5 - Prob. 30ECh. A.5 - Prob. 31ECh. A.5 - Prob. 32ECh. A.5 - Prob. 33ECh. A.5 - Prob. 34ECh. A.5 - Prob. 35ECh. A.5 - Prob. 36ECh. A.5 - Prob. 37ECh. A.5 - Prob. 38ECh. A.5 - Prob. 39ECh. A.5 - Prob. 40ECh. A.5 - Prob. 41ECh. A.5 - Prob. 42ECh. A.5 - Prob. 43ECh. A.5 - Prob. 44ECh. A.5 - Prob. 45ECh. A.5 - Prob. 46ECh. A.5 - Prob. 47ECh. A.5 - Prob. 48ECh. A.5 - Prob. 49ECh. A.5 - Prob. 50ECh. A.5 - Prob. 51ECh. A.5 - Prob. 52ECh. A.5 - Prob. 53ECh. A.5 - Prob. 54ECh. A.5 - Prob. 55ECh. A.5 - Prob. 56ECh. A.5 - Prob. 57ECh. A.5 - Prob. 58ECh. A.5 - Prob. 59ECh. A.5 - Prob. 60ECh. A.5 - Prob. 61ECh. A.5 - Prob. 62ECh. A.5 - Prob. 63ECh. A.5 - Prob. 64ECh. A.5 - Prob. 65ECh. A.5 - Prob. 66ECh. A.5 - Prob. 67ECh. A.5 - Prob. 68ECh. A.5 - Prob. 69ECh. A.5 - Prob. 70ECh. A.5 - Prob. 71ECh. A.5 - Prob. 72ECh. A.5 - Prob. 73ECh. A.5 - Prob. 74ECh. A.5 - Prob. 75ECh. 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A.6 - Prob. 29ECh. A.6 - Prob. 30ECh. A.6 - Prob. 31ECh. A.6 - Prob. 32ECh. A.6 - Prob. 33ECh. A.6 - Prob. 34ECh. A.6 - Prob. 35ECh. A.6 - Prob. 36ECh. A.6 - Prob. 37ECh. A.6 - Prob. 38ECh. A.6 - Prob. 39ECh. A.6 - Prob. 40ECh. A.6 - Prob. 41ECh. A.6 - Prob. 42ECh. A.6 - Prob. 43ECh. A.6 - Prob. 44ECh. A.6 - Prob. 45ECh. A.6 - Prob. 46ECh. A.6 - Prob. 47ECh. A.6 - Prob. 48ECh. A.6 - Prob. 49ECh. A.6 - Prob. 50ECh. A.6 - Prob. 51ECh. A.6 - Prob. 52ECh. A.6 - Prob. 53ECh. A.6 - Prob. 54ECh. A.6 - Prob. 55ECh. A.6 - Prob. 56ECh. A.6 - Prob. 57ECh. A.6 - Prob. 58ECh. A.6 - Prob. 59ECh. A.6 - Prob. 60ECh. A.6 - Prob. 61ECh. A.6 - Prob. 62ECh. A.6 - Prob. 63ECh. A.6 - Prob. 64ECh. A.6 - Prob. 65ECh. A.6 - Prob. 66ECh. A.6 - Prob. 67ECh. A.6 - Prob. 68ECh. A.6 - Prob. 69ECh. A.6 - Prob. 70ECh. A.6 - Prob. 71ECh. A.6 - Prob. 72ECh. A.6 - Prob. 73ECh. A.6 - Prob. 74ECh. A.6 - Prob. 75ECh. A.6 - Prob. 76ECh. A.6 - Prob. 77ECh. A.6 - Prob. 78ECh. A.6 - Prob. 79ECh. A.6 - Prob. 80ECh. 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