High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 1.5, Problem 72PPSE
Solution

To simplify the expression 3x+3y5xy .

  2x+14y

Given:

The expression, 3x+3y5xy .

Concept Used:

  • Like terms are the terms that contain the same variable with similar exponents on it. Constants are like terms as well.
  • In any expression, terms are separated by plus or minus signs.
  • Coefficients are the constants in front of the variable terms.
  • Distributive property: ab±c=ab±ac

Calculation:

In order to simplify the expression 3x+3y5xy , remove the parenthesis and combine the like terms to simplify further as shown below

  3x+3y5xy=3x+33y5x5y=3x+9y5x+5y=3x5x+9y+5y=2x+14y=2x+14y

Therefore, the simplified expression is 2x+14y .

Chapter 1 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 1.1 - Prob. 11PPSECh. 1.1 - Prob. 12PPSECh. 1.1 - Prob. 13PPSECh. 1.1 - Prob. 14PPSECh. 1.1 - Prob. 15PPSECh. 1.1 - Prob. 16PPSECh. 1.1 - Prob. 17PPSECh. 1.1 - Prob. 18PPSECh. 1.1 - Prob. 19PPSECh. 1.1 - Prob. 20PPSECh. 1.1 - Prob. 21PPSECh. 1.1 - Prob. 22PPSECh. 1.1 - Prob. 23PPSECh. 1.1 - Prob. 24PPSECh. 1.1 - Prob. 25PPSECh. 1.1 - Prob. 26PPSECh. 1.1 - Prob. 27PPSECh. 1.1 - Prob. 28PPSECh. 1.1 - Prob. 29PPSECh. 1.1 - Prob. 30PPSECh. 1.1 - Prob. 31PPSECh. 1.1 - Prob. 32PPSECh. 1.1 - Prob. 33PPSECh. 1.1 - Prob. 34PPSECh. 1.1 - Prob. 35PPSECh. 1.1 - Prob. 36PPSECh. 1.1 - Prob. 37PPSECh. 1.1 - Prob. 38PPSECh. 1.1 - Prob. 39PPSECh. 1.1 - Prob. 40PPSECh. 1.1 - Prob. 41PPSECh. 1.1 - Prob. 42PPSECh. 1.1 - Prob. 43PPSECh. 1.1 - Prob. 44PPSECh. 1.1 - Prob. 45PPSECh. 1.1 - Prob. 46PPSECh. 1.1 - Prob. 47PPSECh. 1.1 - Prob. 48PPSECh. 1.1 - Prob. 49PPSECh. 1.1 - Prob. 50PPSECh. 1.1 - Prob. 51PPSECh. 1.1 - Prob. 52PPSECh. 1.1 - Prob. 53PPSECh. 1.1 - Prob. 54PPSECh. 1.1 - Prob. 55PPSECh. 1.1 - Prob. 56PPSECh. 1.1 - Prob. 57PPSECh. 1.2 - Prob. 1LCCh. 1.2 - Prob. 2LCCh. 1.2 - Prob. 3LCCh. 1.2 - Prob. 4LCCh. 1.2 - Prob. 5LCCh. 1.2 - Prob. 6LCCh. 1.2 - Prob. 7LCCh. 1.2 - Prob. 8LCCh. 1.2 - Prob. 9LCCh. 1.2 - Prob. 10PPSECh. 1.2 - Prob. 11PPSECh. 1.2 - Prob. 12PPSECh. 1.2 - Prob. 13PPSECh. 1.2 - Prob. 14PPSECh. 1.2 - Prob. 15PPSECh. 1.2 - Prob. 16PPSECh. 1.2 - Prob. 17PPSECh. 1.2 - Prob. 18PPSECh. 1.2 - Prob. 19PPSECh. 1.2 - Prob. 20PPSECh. 1.2 - Prob. 21PPSECh. 1.2 - Prob. 22PPSECh. 1.2 - Prob. 23PPSECh. 1.2 - Prob. 24PPSECh. 1.2 - Prob. 25PPSECh. 1.2 - Prob. 26PPSECh. 1.2 - Prob. 27PPSECh. 1.2 - Prob. 28PPSECh. 1.2 - Prob. 29PPSECh. 1.2 - Prob. 30PPSECh. 1.2 - Prob. 31PPSECh. 1.2 - Prob. 32PPSECh. 1.2 - Prob. 33PPSECh. 1.2 - Prob. 34PPSECh. 1.2 - Prob. 35PPSECh. 1.2 - Prob. 36PPSECh. 1.2 - Prob. 37PPSECh. 1.2 - Prob. 38PPSECh. 1.2 - Prob. 39PPSECh. 1.2 - Prob. 40PPSECh. 1.2 - Prob. 41PPSECh. 1.2 - Prob. 42PPSECh. 1.2 - Prob. 43PPSECh. 1.2 - Prob. 44PPSECh. 1.2 - Prob. 45PPSECh. 1.2 - Prob. 46PPSECh. 1.2 - Prob. 47PPSECh. 1.2 - Prob. 48PPSECh. 1.2 - Prob. 49PPSECh. 1.2 - Prob. 50PPSECh. 1.2 - Prob. 51PPSECh. 1.2 - Prob. 52PPSECh. 1.2 - Prob. 53PPSECh. 1.2 - Prob. 54PPSECh. 1.2 - Prob. 55PPSECh. 1.2 - Prob. 56PPSECh. 1.2 - Prob. 57PPSECh. 1.2 - Prob. 58PPSECh. 1.2 - Prob. 59PPSECh. 1.2 - Prob. 60PPSECh. 1.2 - Prob. 61PPSECh. 1.2 - Prob. 62PPSECh. 1.2 - Prob. 63PPSECh. 1.2 - Prob. 64PPSECh. 1.2 - Prob. 65PPSECh. 1.2 - Prob. 66PPSECh. 1.2 - Prob. 67PPSECh. 1.2 - Prob. 68PPSECh. 1.2 - Prob. 69PPSECh. 1.2 - Prob. 70PPSECh. 1.2 - Prob. 71PPSECh. 1.2 - Prob. 72PPSECh. 1.2 - Prob. 73PPSECh. 1.2 - Prob. 74PPSECh. 1.3 - Prob. 1LCCh. 1.3 - Prob. 2LCCh. 1.3 - Prob. 3LCCh. 1.3 - Prob. 4LCCh. 1.3 - Prob. 5LCCh. 1.3 - Prob. 6LCCh. 1.3 - Prob. 7LCCh. 1.3 - Prob. 8LCCh. 1.3 - Prob. 9LCCh. 1.3 - Prob. 10PPSECh. 1.3 - Prob. 11PPSECh. 1.3 - Prob. 12PPSECh. 1.3 - Prob. 13PPSECh. 1.3 - Prob. 14PPSECh. 1.3 - Prob. 15PPSECh. 1.3 - Prob. 16PPSECh. 1.3 - Prob. 17PPSECh. 1.3 - Prob. 18PPSECh. 1.3 - Prob. 19PPSECh. 1.3 - Prob. 20PPSECh. 1.3 - Prob. 21PPSECh. 1.3 - Prob. 22PPSECh. 1.3 - Prob. 23PPSECh. 1.3 - Prob. 24PPSECh. 1.3 - Prob. 25PPSECh. 1.3 - Prob. 26PPSECh. 1.3 - Prob. 27PPSECh. 1.3 - Prob. 28PPSECh. 1.3 - Prob. 29PPSECh. 1.3 - Prob. 30PPSECh. 1.3 - Prob. 31PPSECh. 1.3 - Prob. 32PPSECh. 1.3 - Prob. 33PPSECh. 1.3 - Prob. 34PPSECh. 1.3 - Prob. 35PPSECh. 1.3 - Prob. 36PPSECh. 1.3 - Prob. 37PPSECh. 1.3 - Prob. 38PPSECh. 1.3 - Prob. 39PPSECh. 1.3 - Prob. 40PPSECh. 1.3 - Prob. 41PPSECh. 1.3 - Prob. 42PPSECh. 1.3 - Prob. 43PPSECh. 1.3 - Prob. 44PPSECh. 1.3 - Prob. 45PPSECh. 1.3 - Prob. 46PPSECh. 1.3 - Prob. 47PPSECh. 1.3 - Prob. 48PPSECh. 1.3 - Prob. 49PPSECh. 1.3 - Prob. 50PPSECh. 1.3 - Prob. 51PPSECh. 1.3 - Prob. 52PPSECh. 1.3 - Prob. 53PPSECh. 1.3 - Prob. 54PPSECh. 1.3 - Prob. 55PPSECh. 1.3 - Prob. 56PPSECh. 1.3 - Prob. 57PPSECh. 1.3 - Prob. 58PPSECh. 1.3 - Prob. 59PPSECh. 1.3 - Prob. 60PPSECh. 1.3 - Prob. 61PPSECh. 1.3 - Prob. 62PPSECh. 1.4 - Prob. 1LCCh. 1.4 - Prob. 2LCCh. 1.4 - Prob. 3LCCh. 1.4 - Prob. 4LCCh. 1.4 - Prob. 5LCCh. 1.4 - Prob. 6LCCh. 1.4 - Prob. 7LCCh. 1.4 - Prob. 8LCCh. 1.4 - Prob. 9LCCh. 1.4 - Prob. 10PPSECh. 1.4 - Prob. 11PPSECh. 1.4 - Prob. 12PPSECh. 1.4 - Prob. 13PPSECh. 1.4 - Prob. 14PPSECh. 1.4 - Prob. 15PPSECh. 1.4 - Prob. 16PPSECh. 1.4 - Prob. 17PPSECh. 1.4 - Prob. 18PPSECh. 1.4 - Prob. 19PPSECh. 1.4 - Prob. 20PPSECh. 1.4 - Prob. 21PPSECh. 1.4 - Prob. 22PPSECh. 1.4 - Prob. 23PPSECh. 1.4 - Prob. 24PPSECh. 1.4 - Prob. 25PPSECh. 1.4 - Prob. 26PPSECh. 1.4 - Prob. 27PPSECh. 1.4 - Prob. 28PPSECh. 1.4 - Prob. 29PPSECh. 1.4 - Prob. 30PPSECh. 1.4 - Prob. 31PPSECh. 1.4 - Prob. 32PPSECh. 1.4 - Prob. 33PPSECh. 1.4 - Prob. 34PPSECh. 1.4 - Prob. 35PPSECh. 1.4 - Prob. 36PPSECh. 1.4 - Prob. 37PPSECh. 1.4 - Prob. 38PPSECh. 1.4 - Prob. 39PPSECh. 1.4 - Prob. 40PPSECh. 1.4 - Prob. 41PPSECh. 1.4 - Prob. 42PPSECh. 1.4 - Prob. 43PPSECh. 1.4 - Prob. 44PPSECh. 1.4 - Prob. 45PPSECh. 1.4 - Prob. 46PPSECh. 1.4 - Prob. 47PPSECh. 1.4 - Prob. 48PPSECh. 1.4 - Prob. 49PPSECh. 1.4 - Prob. 50PPSECh. 1.4 - Prob. 51PPSECh. 1.4 - Prob. 52PPSECh. 1.4 - Prob. 53PPSECh. 1.4 - Prob. 54PPSECh. 1.4 - Prob. 55PPSECh. 1.4 - Prob. 56PPSECh. 1.4 - Prob. 57PPSECh. 1.4 - Prob. 58PPSECh. 1.4 - Prob. 59PPSECh. 1.4 - Prob. 60PPSECh. 1.4 - Prob. 61PPSECh. 1.4 - Prob. 62PPSECh. 1.4 - Prob. 63PPSECh. 1.4 - Prob. 64PPSECh. 1.4 - Prob. 65PPSECh. 1.5 - Prob. 1LCCh. 1.5 - Prob. 2LCCh. 1.5 - Prob. 3LCCh. 1.5 - Prob. 4LCCh. 1.5 - Prob. 5LCCh. 1.5 - Prob. 6LCCh. 1.5 - Prob. 7LCCh. 1.5 - Prob. 8LCCh. 1.5 - Prob. 9LCCh. 1.5 - Prob. 10PPSECh. 1.5 - Prob. 11PPSECh. 1.5 - Prob. 12PPSECh. 1.5 - Prob. 13PPSECh. 1.5 - Prob. 14PPSECh. 1.5 - Prob. 15PPSECh. 1.5 - Prob. 16PPSECh. 1.5 - Prob. 17PPSECh. 1.5 - Prob. 18PPSECh. 1.5 - Prob. 19PPSECh. 1.5 - Prob. 20PPSECh. 1.5 - Prob. 21PPSECh. 1.5 - Prob. 22PPSECh. 1.5 - Prob. 23PPSECh. 1.5 - Prob. 24PPSECh. 1.5 - Prob. 25PPSECh. 1.5 - Prob. 26PPSECh. 1.5 - Prob. 27PPSECh. 1.5 - Prob. 28PPSECh. 1.5 - Prob. 29PPSECh. 1.5 - Prob. 30PPSECh. 1.5 - Prob. 31PPSECh. 1.5 - Prob. 32PPSECh. 1.5 - Prob. 33PPSECh. 1.5 - Prob. 34PPSECh. 1.5 - Prob. 35PPSECh. 1.5 - Prob. 36PPSECh. 1.5 - Prob. 37PPSECh. 1.5 - Prob. 38PPSECh. 1.5 - Prob. 39PPSECh. 1.5 - Prob. 40PPSECh. 1.5 - Prob. 41PPSECh. 1.5 - Prob. 42PPSECh. 1.5 - Prob. 43PPSECh. 1.5 - Prob. 44PPSECh. 1.5 - Prob. 45PPSECh. 1.5 - Prob. 46PPSECh. 1.5 - Prob. 47PPSECh. 1.5 - Prob. 48PPSECh. 1.5 - Prob. 49PPSECh. 1.5 - Prob. 50PPSECh. 1.5 - Prob. 51PPSECh. 1.5 - Prob. 52PPSECh. 1.5 - Prob. 53PPSECh. 1.5 - Prob. 54PPSECh. 1.5 - Prob. 55PPSECh. 1.5 - Prob. 56PPSECh. 1.5 - Prob. 57PPSECh. 1.5 - Prob. 58PPSECh. 1.5 - Prob. 59PPSECh. 1.5 - Prob. 60PPSECh. 1.5 - Prob. 61PPSECh. 1.5 - Prob. 62PPSECh. 1.5 - Prob. 63PPSECh. 1.5 - Prob. 64PPSECh. 1.5 - Prob. 65PPSECh. 1.5 - Prob. 66PPSECh. 1.5 - Prob. 67PPSECh. 1.5 - Prob. 68PPSECh. 1.5 - Prob. 69PPSECh. 1.5 - Prob. 70PPSECh. 1.5 - Prob. 71PPSECh. 1.5 - Prob. 72PPSECh. 1.5 - Prob. 73PPSECh. 1.5 - Prob. 74PPSECh. 1.5 - Prob. 75PPSECh. 1.5 - Prob. 76PPSECh. 1.5 - Prob. 77PPSECh. 1.5 - Prob. 78PPSECh. 1.6 - Prob. 1LCCh. 1.6 - Prob. 2LCCh. 1.6 - Prob. 3LCCh. 1.6 - Prob. 4LCCh. 1.6 - Prob. 5LCCh. 1.6 - Prob. 6LCCh. 1.6 - Prob. 7LCCh. 1.6 - Prob. 8LCCh. 1.6 - Prob. 9LCCh. 1.6 - Prob. 10PPSECh. 1.6 - Prob. 11PPSECh. 1.6 - Prob. 12PPSECh. 1.6 - Prob. 13PPSECh. 1.6 - Prob. 14PPSECh. 1.6 - Prob. 15PPSECh. 1.6 - Prob. 16PPSECh. 1.6 - Prob. 17PPSECh. 1.6 - Prob. 18PPSECh. 1.6 - Prob. 19PPSECh. 1.6 - Prob. 20PPSECh. 1.6 - Prob. 21PPSECh. 1.6 - Prob. 22PPSECh. 1.6 - Prob. 23PPSECh. 1.6 - Prob. 24PPSECh. 1.6 - Prob. 25PPSECh. 1.6 - Prob. 26PPSECh. 1.6 - Prob. 27PPSECh. 1.6 - Prob. 28PPSECh. 1.6 - Prob. 29PPSECh. 1.6 - Prob. 30PPSECh. 1.6 - Prob. 31PPSECh. 1.6 - Prob. 32PPSECh. 1.6 - Prob. 33PPSECh. 1.6 - Prob. 34PPSECh. 1.6 - Prob. 35PPSECh. 1.6 - Prob. 36PPSECh. 1.6 - Prob. 37PPSECh. 1.6 - Prob. 38PPSECh. 1.6 - Prob. 39PPSECh. 1.6 - Prob. 40PPSECh. 1.6 - Prob. 41PPSECh. 1.6 - Prob. 42PPSECh. 1.6 - Prob. 43PPSECh. 1.6 - Prob. 44PPSECh. 1.6 - Prob. 45PPSECh. 1.6 - Prob. 46PPSECh. 1.6 - Prob. 47PPSECh. 1.6 - Prob. 48PPSECh. 1.6 - Prob. 49PPSECh. 1.6 - Prob. 50PPSECh. 1.6 - Prob. 51PPSECh. 1.6 - Prob. 52PPSECh. 1.6 - Prob. 53PPSECh. 1.6 - Prob. 54PPSECh. 1.6 - Prob. 55PPSECh. 1.6 - Prob. 56PPSECh. 1.6 - Prob. 57PPSECh. 1.6 - Prob. 58PPSECh. 1.6 - Prob. 59PPSECh. 1.6 - Prob. 60PPSECh. 1.6 - Prob. 61PPSECh. 1.6 - Prob. 62PPSECh. 1.6 - Prob. 63PPSECh. 1.6 - Prob. 64PPSECh. 1.6 - Prob. 65PPSECh. 1.6 - Prob. 66PPSECh. 1.6 - Prob. 67PPSECh. 1.6 - Prob. 68PPSECh. 1.6 - Prob. 69PPSECh. 1.6 - Prob. 70PPSECh. 1.6 - Prob. 71PPSECh. 1.6 - Prob. 72PPSECh. 1.6 - Prob. 73PPSECh. 1.6 - Prob. 74PPSECh. 1.6 - Prob. 75PPSECh. 1.6 - Prob. 76PPSECh. 1.6 - Prob. 77PPSECh. 1.6 - Prob. 78PPSECh. 1.6 - Prob. 79PPSECh. 1.6 - Prob. 80PPSECh. 1.6 - Prob. 81PPSECh. 1.6 - Prob. 82PPSECh. 1.6 - Prob. 83PPSECh. 1.6 - Prob. 84PPSECh. 1.6 - Prob. 85PPSECh. 1.6 - Prob. 86PPSECh. 1.6 - Prob. 87PPSECh. 1.6 - Prob. 88PPSECh. 1.6 - Prob. 89PPSECh. 1.6 - Prob. 90PPSECh. 1.6 - Prob. 91PPSECh. 1.6 - Prob. 92PPSECh. 1.6 - Prob. 93PPSECh. 1.6 - Prob. 94PPSECh. 1.6 - Prob. 95PPSECh. 1.6 - Prob. 96PPSECh. 1.6 - Prob. 97PPSECh. 1.6 - Prob. 98PPSECh. 1.6 - Prob. 99PPSECh. 1.6 - Prob. 100PPSECh. 1.6 - Prob. 101PPSECh. 1.6 - Prob. 102PPSECh. 1 - Prob. 1GRCh. 1 - Prob. 2GRCh. 1 - Prob. 3GRCh. 1 - Prob. 4GRCh. 1 - Prob. 5GRCh. 1 - Prob. 6GRCh. 1 - Prob. 7GRCh. 1 - Prob. 8GRCh. 1 - Prob. 9GRCh. 1 - Prob. 10GRCh. 1 - Prob. 11GRCh. 1 - Prob. 12GRCh. 1 - Prob. 13GRCh. 1 - Prob. 14GRCh. 1 - Prob. 15GRCh. 1 - Prob. 16GRCh. 1 - Prob. 17GRCh. 1 - Prob. 18GRCh. 1 - Prob. 19GRCh. 1 - Prob. 20GRCh. 1 - Prob. 21GRCh. 1 - Prob. 22GRCh. 1 - Prob. 23GRCh. 1 - Prob. 24GRCh. 1 - Prob. 25GRCh. 1 - Prob. 26GRCh. 1 - Prob. 27GRCh. 1 - Prob. 28GRCh. 1 - Prob. 29GRCh. 1 - Prob. 30GRCh. 1 - Prob. 31GRCh. 1 - Prob. 1MCQCh. 1 - Prob. 2MCQCh. 1 - Prob. 3MCQCh. 1 - Prob. 4MCQCh. 1 - Prob. 5MCQCh. 1 - Prob. 6MCQCh. 1 - Prob. 7MCQCh. 1 - Prob. 8MCQCh. 1 - Prob. 9MCQCh. 1 - Prob. 10MCQCh. 1 - Prob. 11MCQCh. 1 - Prob. 12MCQCh. 1 - Prob. 13MCQCh. 1 - Prob. 14MCQCh. 1 - Prob. 15MCQCh. 1 - Prob. 16MCQCh. 1 - Prob. 17MCQCh. 1 - Prob. 18MCQCh. 1 - Prob. 19MCQCh. 1 - Prob. 20MCQCh. 1 - Prob. 21MCQCh. 1 - Prob. 22MCQCh. 1 - Prob. 23MCQCh. 1 - Prob. 24MCQCh. 1 - Prob. 25MCQCh. 1 - Prob. 26MCQCh. 1 - Prob. 27MCQCh. 1 - Prob. 1CVCh. 1 - Prob. 2CVCh. 1 - Prob. 3CVCh. 1 - Prob. 4CVCh. 1 - Prob. 5ECh. 1 - Prob. 6ECh. 1 - Prob. 7ECh. 1 - Prob. 8ECh. 1 - Prob. 9ECh. 1 - Prob. 10ECh. 1 - Prob. 11ECh. 1 - Prob. 12ECh. 1 - Prob. 13ECh. 1 - Prob. 14ECh. 1 - Prob. 15ECh. 1 - Prob. 16ECh. 1 - Prob. 17ECh. 1 - Prob. 18ECh. 1 - Prob. 19ECh. 1 - Prob. 20ECh. 1 - Prob. 21ECh. 1 - Prob. 22ECh. 1 - Prob. 23ECh. 1 - Prob. 24ECh. 1 - Prob. 25ECh. 1 - Prob. 26ECh. 1 - Prob. 27ECh. 1 - Prob. 28ECh. 1 - Prob. 29ECh. 1 - Prob. 30ECh. 1 - Prob. 31ECh. 1 - Prob. 32ECh. 1 - Prob. 33ECh. 1 - Prob. 34ECh. 1 - Prob. 35ECh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - Prob. 12CTCh. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 21CTCh. 1 - Prob. 22CTCh. 1 - Prob. 23CTCh. 1 - Prob. 24CTCh. 1 - Prob. 25CTCh. 1 - Prob. 26CTCh. 1 - Prob. 1CCSRCh. 1 - Prob. 2CCSRCh. 1 - Prob. 3CCSRCh. 1 - Prob. 4CCSRCh. 1 - Prob. 5CCSRCh. 1 - Prob. 6CCSRCh. 1 - Prob. 7CCSRCh. 1 - Prob. 8CCSRCh. 1 - Prob. 9CCSRCh. 1 - Prob. 10CCSRCh. 1 - Prob. 11CCSRCh. 1 - Prob. 12CCSRCh. 1 - Prob. 13CCSRCh. 1 - Prob. 14CCSRCh. 1 - Prob. 15CCSRCh. 1 - Prob. 16CCSRCh. 1 - Prob. 17CCSRCh. 1 - Prob. 18CCSRCh. 1 - Prob. 19CCSRCh. 1 - Prob. 20CCSRCh. 1 - Prob. 21CCSR
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