Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Chapter 6.2, Problem 58WE
To determine

To calculate: The simplified form of the expression a2−(b−c)22a−2b+2c⋅6a−6b+6cb2−(a−c)2.

Expert Solution & Answer
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Answer to Problem 58WE

The simplified form of the expression a2−(b−c)22a−2b+2c⋅6a−6b+6cb2−(a−c)2 is 3(a−b+c)(b−a+c).

Explanation of Solution

Given information:

The expression a2−(b−c)22a−2b+2c⋅6a−6b+6cb2−(a−c)2.

Formula used:

Fractions are multiplied as ab⋅cd=abcd.

To factor a polynomial split the middle term in such a way that sum of two numbers is the middle term and product of two numbers is same is product of first and last term.

Calculation:

Consider the expression a2−(b−c)22a−2b+2c⋅6a−6b+6cb2−(a−c)2.

Recall that square of difference of two numbers a and bis (a−b)2=a2+b2−2ab.

Therefore,

  a2−(b−c)22a−2b+2c⋅6a−6b+6cb2−(a−c)2=(a−b+c)(a+b−c)2a−2b+2c⋅6a−6b+6c(b−a+c)(b+a−c)=(a−b+c)(a+b−c)2(a−b+c)⋅6(a−b+c)(b−a+c)(b+a−c)

Strike off the similar terms,

  a2−(b−c)22a−2b+2c⋅6a−6b+6cb2−(a−c)2=(a−b+c)(a+b−c)2a−2b+2c⋅6a−6b+6c(b−a+c)(b+a−c)=(a−b+c)(a+b−c)2(a−b+c)⋅6(a−b+c)(b−a+c)(b+a−c)=(a−b+c)1⋅3(b−a+c)

Recall that fractions are multiplied as ab⋅cd=abcd.

Apply it,

  a2−(b−c)22a−2b+2c⋅6a−6b+6cb2−(a−c)2=(a−b+c)(a+b−c)2a−2b+2c⋅6a−6b+6c(b−a+c)(b+a−c)=(a−b+c)(a+b−c)2(a−b+c)⋅6(a−b+c)(b−a+c)(b+a−c)=(a−b+c)1⋅3(b−a+c)=3(a−b+c)(b−a+c)

Thus, the simplified form of the expression a2−(b−c)22a−2b+2c⋅6a−6b+6cb2−(a−c)2 is 3(a−b+c)(b−a+c).

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Chapter 6 Solutions

Algebra: Structure And Method, Book 1

Ch. 6.1 - Prob. 1OECh. 6.1 - Prob. 2OECh. 6.1 - Prob. 3OECh. 6.1 - Prob. 4OECh. 6.1 - Prob. 5OECh. 6.1 - Prob. 6OECh. 6.1 - Prob. 7OECh. 6.1 - Prob. 8OECh. 6.1 - Prob. 9OECh. 6.1 - Prob. 10OE
Ch. 6.1 - Prob. 11OECh. 6.1 - Prob. 12OECh. 6.1 - Prob. 13OECh. 6.1 - Prob. 14OECh. 6.1 - Prob. 15OECh. 6.1 - Prob. 16OECh. 6.1 - Prob. 1WECh. 6.1 - Prob. 2WECh. 6.1 - Prob. 3WECh. 6.1 - Prob. 4WECh. 6.1 - Prob. 5WECh. 6.1 - Prob. 6WECh. 6.1 - Prob. 7WECh. 6.1 - Prob. 8WECh. 6.1 - Prob. 9WECh. 6.1 - Prob. 10WECh. 6.1 - Prob. 11WECh. 6.1 - Prob. 12WECh. 6.1 - Prob. 13WECh. 6.1 - Prob. 14WECh. 6.1 - Prob. 15WECh. 6.1 - Prob. 16WECh. 6.1 - Prob. 17WECh. 6.1 - Prob. 18WECh. 6.1 - Prob. 19WECh. 6.1 - Prob. 20WECh. 6.1 - Prob. 21WECh. 6.1 - Prob. 22WECh. 6.1 - Prob. 23WECh. 6.1 - Prob. 24WECh. 6.1 - Prob. 25WECh. 6.1 - Prob. 26WECh. 6.1 - Prob. 27WECh. 6.1 - Prob. 28WECh. 6.1 - Prob. 29WECh. 6.1 - Prob. 30WECh. 6.1 - Prob. 31WECh. 6.1 - Prob. 32WECh. 6.1 - Prob. 33WECh. 6.1 - Prob. 34WECh. 6.1 - Prob. 35WECh. 6.1 - Prob. 36WECh. 6.1 - Prob. 37WECh. 6.1 - Prob. 38WECh. 6.1 - Prob. 39WECh. 6.1 - Prob. 40WECh. 6.1 - Prob. 41WECh. 6.1 - Prob. 42WECh. 6.1 - Prob. 43WECh. 6.1 - Prob. 44WECh. 6.1 - Prob. 45WECh. 6.1 - Prob. 46WECh. 6.1 - Prob. 47WECh. 6.1 - Prob. 48WECh. 6.1 - Prob. 49WECh. 6.1 - Prob. 50WECh. 6.1 - Prob. 51WECh. 6.1 - Prob. 52WECh. 6.1 - Prob. 53WECh. 6.1 - Prob. 54WECh. 6.1 - Prob. 1MRECh. 6.1 - Prob. 2MRECh. 6.1 - Prob. 3MRECh. 6.1 - Prob. 4MRECh. 6.1 - Prob. 5MRECh. 6.1 - Prob. 6MRECh. 6.1 - Prob. 7MRECh. 6.1 - Prob. 8MRECh. 6.1 - Prob. 9MRECh. 6.1 - Prob. 10MRECh. 6.1 - Prob. 11MRECh. 6.1 - Prob. 12MRECh. 6.1 - Prob. 1CECh. 6.1 - Prob. 2CECh. 6.2 - Prob. 1OECh. 6.2 - Prob. 2OECh. 6.2 - Prob. 3OECh. 6.2 - Prob. 4OECh. 6.2 - Prob. 5OECh. 6.2 - Prob. 6OECh. 6.2 - Prob. 7OECh. 6.2 - Prob. 8OECh. 6.2 - Prob. 9OECh. 6.2 - Prob. 10OECh. 6.2 - Prob. 11OECh. 6.2 - Prob. 12OECh. 6.2 - Prob. 13OECh. 6.2 - Prob. 14OECh. 6.2 - Prob. 15OECh. 6.2 - Prob. 16OECh. 6.2 - Prob. 1WECh. 6.2 - Prob. 2WECh. 6.2 - Prob. 3WECh. 6.2 - Prob. 4WECh. 6.2 - Prob. 5WECh. 6.2 - Prob. 6WECh. 6.2 - Prob. 7WECh. 6.2 - Prob. 8WECh. 6.2 - Prob. 9WECh. 6.2 - Prob. 10WECh. 6.2 - Prob. 11WECh. 6.2 - Prob. 12WECh. 6.2 - Prob. 13WECh. 6.2 - Prob. 14WECh. 6.2 - Prob. 15WECh. 6.2 - Prob. 16WECh. 6.2 - Prob. 17WECh. 6.2 - Prob. 18WECh. 6.2 - Prob. 19WECh. 6.2 - Prob. 20WECh. 6.2 - Prob. 21WECh. 6.2 - Prob. 22WECh. 6.2 - Prob. 23WECh. 6.2 - Prob. 24WECh. 6.2 - Prob. 25WECh. 6.2 - Prob. 26WECh. 6.2 - Prob. 27WECh. 6.2 - Prob. 28WECh. 6.2 - Prob. 29WECh. 6.2 - Prob. 30WECh. 6.2 - Prob. 31WECh. 6.2 - Prob. 32WECh. 6.2 - Prob. 33WECh. 6.2 - Prob. 34WECh. 6.2 - Prob. 35WECh. 6.2 - Prob. 36WECh. 6.2 - Prob. 37WECh. 6.2 - Prob. 38WECh. 6.2 - Prob. 39WECh. 6.2 - Prob. 40WECh. 6.2 - Prob. 41WECh. 6.2 - Prob. 42WECh. 6.2 - Prob. 43WECh. 6.2 - Prob. 44WECh. 6.2 - Prob. 45WECh. 6.2 - Prob. 46WECh. 6.2 - Prob. 47WECh. 6.2 - Prob. 48WECh. 6.2 - Prob. 49WECh. 6.2 - Prob. 50WECh. 6.2 - Prob. 51WECh. 6.2 - Prob. 52WECh. 6.2 - Prob. 53WECh. 6.2 - Prob. 54WECh. 6.2 - Prob. 55WECh. 6.2 - Prob. 56WECh. 6.2 - Prob. 57WECh. 6.2 - Prob. 58WECh. 6.2 - Prob. 59WECh. 6.2 - Prob. 1MRECh. 6.2 - Prob. 2MRECh. 6.2 - Prob. 3MRECh. 6.2 - Prob. 4MRECh. 6.2 - Prob. 5MRECh. 6.2 - Prob. 6MRECh. 6.2 - Prob. 7MRECh. 6.2 - Prob. 8MRECh. 6.2 - Prob. 9MRECh. 6.2 - Prob. 10MRECh. 6.2 - Prob. 11MRECh. 6.2 - Prob. 12MRECh. 6.3 - Prob. 1OECh. 6.3 - Prob. 2OECh. 6.3 - Prob. 3OECh. 6.3 - Prob. 4OECh. 6.3 - Prob. 5OECh. 6.3 - Prob. 6OECh. 6.3 - Prob. 7OECh. 6.3 - Prob. 8OECh. 6.3 - Prob. 9OECh. 6.3 - Prob. 10OECh. 6.3 - Prob. 11OECh. 6.3 - Prob. 12OECh. 6.3 - Prob. 1WECh. 6.3 - Prob. 2WECh. 6.3 - Prob. 3WECh. 6.3 - Prob. 4WECh. 6.3 - Prob. 5WECh. 6.3 - Prob. 6WECh. 6.3 - Prob. 7WECh. 6.3 - Prob. 8WECh. 6.3 - Prob. 9WECh. 6.3 - Prob. 10WECh. 6.3 - Prob. 11WECh. 6.3 - Prob. 12WECh. 6.3 - Prob. 13WECh. 6.3 - Prob. 14WECh. 6.3 - Prob. 15WECh. 6.3 - Prob. 16WECh. 6.3 - Prob. 17WECh. 6.3 - Prob. 18WECh. 6.3 - Prob. 19WECh. 6.3 - Prob. 20WECh. 6.3 - Prob. 21WECh. 6.3 - Prob. 22WECh. 6.3 - Prob. 23WECh. 6.3 - Prob. 24WECh. 6.3 - Prob. 25WECh. 6.3 - Prob. 26WECh. 6.3 - Prob. 27WECh. 6.3 - Prob. 28WECh. 6.3 - Prob. 29WECh. 6.3 - Prob. 30WECh. 6.3 - Prob. 31WECh. 6.3 - Prob. 32WECh. 6.3 - Prob. 33WECh. 6.3 - Prob. 34WECh. 6.3 - Prob. 35WECh. 6.3 - Prob. 36WECh. 6.3 - Prob. 37WECh. 6.3 - Prob. 38WECh. 6.3 - Prob. 39WECh. 6.3 - Prob. 40WECh. 6.3 - Prob. 41WECh. 6.3 - Prob. 42WECh. 6.3 - Prob. 43WECh. 6.3 - Prob. 44WECh. 6.3 - Prob. 45WECh. 6.3 - Prob. 46WECh. 6.3 - Prob. 1MRECh. 6.3 - Prob. 2MRECh. 6.3 - Prob. 3MRECh. 6.3 - Prob. 4MRECh. 6.3 - Prob. 5MRECh. 6.3 - Prob. 6MRECh. 6.3 - Prob. 7MRECh. 6.3 - Prob. 8MRECh. 6.3 - Prob. 9MRECh. 6.3 - Prob. 10MRECh. 6.3 - Prob. 1STCh. 6.3 - Prob. 2STCh. 6.3 - Prob. 3STCh. 6.3 - Prob. 4STCh. 6.3 - Prob. 5STCh. 6.3 - Prob. 6STCh. 6.4 - Prob. 1OECh. 6.4 - Prob. 2OECh. 6.4 - Prob. 3OECh. 6.4 - Prob. 4OECh. 6.4 - Prob. 5OECh. 6.4 - Prob. 6OECh. 6.4 - Prob. 7OECh. 6.4 - Prob. 8OECh. 6.4 - Prob. 9OECh. 6.4 - Prob. 10OECh. 6.4 - Prob. 11OECh. 6.4 - Prob. 12OECh. 6.4 - Prob. 13OECh. 6.4 - Prob. 14OECh. 6.4 - Prob. 15OECh. 6.4 - Prob. 16OECh. 6.4 - Prob. 17OECh. 6.4 - Prob. 18OECh. 6.4 - Prob. 19OECh. 6.4 - Prob. 20OECh. 6.4 - Prob. 1WECh. 6.4 - Prob. 2WECh. 6.4 - Prob. 3WECh. 6.4 - Prob. 4WECh. 6.4 - Prob. 5WECh. 6.4 - Prob. 6WECh. 6.4 - Prob. 7WECh. 6.4 - Prob. 8WECh. 6.4 - Prob. 9WECh. 6.4 - Prob. 10WECh. 6.4 - Prob. 11WECh. 6.4 - Prob. 12WECh. 6.4 - Prob. 13WECh. 6.4 - Prob. 14WECh. 6.4 - Prob. 15WECh. 6.4 - Prob. 16WECh. 6.4 - Prob. 17WECh. 6.4 - Prob. 18WECh. 6.4 - Prob. 19WECh. 6.4 - Prob. 20WECh. 6.4 - Prob. 21WECh. 6.4 - Prob. 22WECh. 6.4 - Prob. 23WECh. 6.4 - Prob. 24WECh. 6.4 - Prob. 25WECh. 6.4 - Prob. 26WECh. 6.4 - Prob. 27WECh. 6.4 - Prob. 28WECh. 6.4 - Prob. 29WECh. 6.4 - Prob. 30WECh. 6.4 - Prob. 31WECh. 6.4 - Prob. 32WECh. 6.4 - Prob. 33WECh. 6.4 - Prob. 34WECh. 6.4 - Prob. 35WECh. 6.4 - Prob. 36WECh. 6.4 - Prob. 37WECh. 6.4 - Prob. 38WECh. 6.4 - Prob. 39WECh. 6.4 - Prob. 40WECh. 6.4 - Prob. 41WECh. 6.4 - Prob. 42WECh. 6.4 - Prob. 43WECh. 6.4 - Prob. 44WECh. 6.4 - Prob. 45WECh. 6.4 - Prob. 1MRECh. 6.4 - Prob. 2MRECh. 6.4 - Prob. 3MRECh. 6.4 - Prob. 4MRECh. 6.4 - Prob. 5MRECh. 6.4 - Prob. 6MRECh. 6.4 - Prob. 7MRECh. 6.4 - Prob. 8MRECh. 6.4 - Prob. 9MRECh. 6.4 - Prob. 10MRECh. 6.4 - Prob. 11MRECh. 6.4 - Prob. 12MRECh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.5 - Prob. 1OECh. 6.5 - Prob. 2OECh. 6.5 - Prob. 3OECh. 6.5 - Prob. 4OECh. 6.5 - Prob. 5OECh. 6.5 - Prob. 6OECh. 6.5 - Prob. 7OECh. 6.5 - Prob. 8OECh. 6.5 - Prob. 9OECh. 6.5 - Prob. 10OECh. 6.5 - Prob. 11OECh. 6.5 - Prob. 12OECh. 6.5 - Prob. 13OECh. 6.5 - Prob. 14OECh. 6.5 - Prob. 15OECh. 6.5 - Prob. 16OECh. 6.5 - Prob. 17OECh. 6.5 - Prob. 18OECh. 6.5 - Prob. 19OECh. 6.5 - Prob. 20OECh. 6.5 - Prob. 1WECh. 6.5 - Prob. 2WECh. 6.5 - Prob. 3WECh. 6.5 - Prob. 4WECh. 6.5 - Prob. 5WECh. 6.5 - Prob. 6WECh. 6.5 - Prob. 7WECh. 6.5 - Prob. 8WECh. 6.5 - Prob. 9WECh. 6.5 - Prob. 10WECh. 6.5 - Prob. 11WECh. 6.5 - Prob. 12WECh. 6.5 - Prob. 13WECh. 6.5 - Prob. 14WECh. 6.5 - Prob. 15WECh. 6.5 - Prob. 16WECh. 6.5 - Prob. 17WECh. 6.5 - Prob. 18WECh. 6.5 - Prob. 19WECh. 6.5 - Prob. 20WECh. 6.5 - Prob. 21WECh. 6.5 - Prob. 22WECh. 6.5 - Prob. 23WECh. 6.5 - Prob. 24WECh. 6.5 - Prob. 25WECh. 6.5 - Prob. 26WECh. 6.5 - Prob. 27WECh. 6.5 - Prob. 28WECh. 6.5 - Prob. 29WECh. 6.5 - Prob. 30WECh. 6.5 - Prob. 31WECh. 6.5 - Prob. 32WECh. 6.5 - Prob. 33WECh. 6.5 - Prob. 34WECh. 6.5 - Prob. 35WECh. 6.5 - Prob. 36WECh. 6.5 - Prob. 37WECh. 6.5 - Prob. 38WECh. 6.5 - Prob. 39WECh. 6.5 - Prob. 40WECh. 6.5 - Prob. 41WECh. 6.5 - Prob. 42WECh. 6.5 - Prob. 43WECh. 6.5 - Prob. 44WECh. 6.5 - Prob. 45WECh. 6.5 - Prob. 46WECh. 6.5 - Prob. 47WECh. 6.5 - Prob. 48WECh. 6.5 - Prob. 49WECh. 6.5 - Prob. 50WECh. 6.5 - Prob. 51WECh. 6.5 - Prob. 52WECh. 6.5 - Prob. 53WECh. 6.5 - Prob. 54WECh. 6.5 - Prob. 55WECh. 6.5 - Prob. 56WECh. 6.5 - Prob. 57WECh. 6.5 - Prob. 58WECh. 6.5 - Prob. 1MRECh. 6.5 - Prob. 2MRECh. 6.5 - Prob. 3MRECh. 6.5 - Prob. 4MRECh. 6.5 - Prob. 5MRECh. 6.5 - Prob. 6MRECh. 6.5 - Prob. 7MRECh. 6.5 - Prob. 8MRECh. 6.5 - Prob. 9MRECh. 6.5 - Prob. 1STCh. 6.5 - Prob. 2STCh. 6.5 - Prob. 3STCh. 6.5 - Prob. 4STCh. 6.5 - Prob. 5STCh. 6.5 - Prob. 6STCh. 6.5 - Prob. 7STCh. 6.5 - Prob. 8STCh. 6.6 - Prob. 1OECh. 6.6 - Prob. 2OECh. 6.6 - Prob. 3OECh. 6.6 - Prob. 4OECh. 6.6 - Prob. 5OECh. 6.6 - Prob. 6OECh. 6.6 - Prob. 7OECh. 6.6 - Prob. 8OECh. 6.6 - Prob. 9OECh. 6.6 - Prob. 10OECh. 6.6 - Prob. 11OECh. 6.6 - Prob. 12OECh. 6.6 - Prob. 13OECh. 6.6 - Prob. 14OECh. 6.6 - Prob. 15OECh. 6.6 - Prob. 16OECh. 6.6 - Prob. 1WECh. 6.6 - Prob. 2WECh. 6.6 - Prob. 3WECh. 6.6 - Prob. 4WECh. 6.6 - Prob. 5WECh. 6.6 - Prob. 6WECh. 6.6 - Prob. 7WECh. 6.6 - Prob. 8WECh. 6.6 - Prob. 9WECh. 6.6 - Prob. 10WECh. 6.6 - Prob. 11WECh. 6.6 - Prob. 12WECh. 6.6 - Prob. 13WECh. 6.6 - Prob. 14WECh. 6.6 - Prob. 15WECh. 6.6 - Prob. 16WECh. 6.6 - Prob. 17WECh. 6.6 - Prob. 18WECh. 6.6 - Prob. 19WECh. 6.6 - Prob. 20WECh. 6.6 - Prob. 21WECh. 6.6 - Prob. 22WECh. 6.6 - Prob. 23WECh. 6.6 - Prob. 24WECh. 6.6 - Prob. 25WECh. 6.6 - Prob. 26WECh. 6.6 - Prob. 27WECh. 6.6 - Prob. 28WECh. 6.6 - Prob. 29WECh. 6.6 - Prob. 30WECh. 6.6 - Prob. 31WECh. 6.6 - Prob. 32WECh. 6.6 - Prob. 33WECh. 6.6 - Prob. 34WECh. 6.6 - Prob. 35WECh. 6.6 - Prob. 36WECh. 6.6 - Prob. 37WECh. 6.6 - Prob. 38WECh. 6.6 - Prob. 39WECh. 6.6 - Prob. 40WECh. 6.6 - Prob. 41WECh. 6.6 - Prob. 42WECh. 6.6 - Prob. 43WECh. 6.6 - Prob. 44WECh. 6.6 - Prob. 45WECh. 6.6 - Prob. 46WECh. 6.6 - Prob. 1MRECh. 6.6 - Prob. 2MRECh. 6.6 - Prob. 3MRECh. 6.6 - Prob. 4MRECh. 6.6 - Prob. 5MRECh. 6.6 - Prob. 6MRECh. 6.6 - Prob. 7MRECh. 6.6 - Prob. 8MRECh. 6.6 - Prob. 9MRECh. 6.6 - Prob. 1CECh. 6.6 - Prob. 2CECh. 6.7 - Prob. 1OECh. 6.7 - Prob. 2OECh. 6.7 - Prob. 3OECh. 6.7 - Prob. 4OECh. 6.7 - Prob. 5OECh. 6.7 - Prob. 6OECh. 6.7 - Prob. 7OECh. 6.7 - Prob. 1WECh. 6.7 - Prob. 2WECh. 6.7 - Prob. 3WECh. 6.7 - Prob. 4WECh. 6.7 - Prob. 5WECh. 6.7 - Prob. 6WECh. 6.7 - Prob. 7WECh. 6.7 - Prob. 8WECh. 6.7 - Prob. 9WECh. 6.7 - Prob. 10WECh. 6.7 - Prob. 11WECh. 6.7 - Prob. 12WECh. 6.7 - Prob. 13WECh. 6.7 - Prob. 14WECh. 6.7 - Prob. 15WECh. 6.7 - Prob. 16WECh. 6.7 - Prob. 17WECh. 6.7 - Prob. 18WECh. 6.7 - Prob. 19WECh. 6.7 - Prob. 20WECh. 6.7 - Prob. 21WECh. 6.7 - Prob. 22WECh. 6.7 - Prob. 23WECh. 6.7 - Prob. 24WECh. 6.7 - Prob. 25WECh. 6.7 - Prob. 26WECh. 6.7 - Prob. 27WECh. 6.7 - Prob. 28WECh. 6.7 - Prob. 29WECh. 6.7 - Prob. 30WECh. 6.7 - Prob. 31WECh. 6.7 - Prob. 32WECh. 6.7 - Prob. 33WECh. 6.7 - Prob. 34WECh. 6.7 - Prob. 35WECh. 6.7 - Prob. 36WECh. 6.7 - Prob. 37WECh. 6.7 - Prob. 38WECh. 6.7 - Prob. 1MRECh. 6.7 - Prob. 2MRECh. 6.7 - Prob. 3MRECh. 6.7 - Prob. 4MRECh. 6.7 - Prob. 5MRECh. 6.7 - Prob. 6MRECh. 6.7 - Prob. 7MRECh. 6.7 - Prob. 8MRECh. 6.7 - Prob. 9MRECh. 6.7 - Prob. 1STCh. 6.7 - Prob. 2STCh. 6.7 - Prob. 3STCh. 6.7 - Prob. 4STCh. 6.7 - Prob. 5STCh. 6.7 - Prob. 1ECh. 6.7 - Prob. 2ECh. 6.7 - Prob. 3ECh. 6.7 - Prob. 4ECh. 6.7 - Prob. 5ECh. 6.7 - Prob. 6ECh. 6.7 - Prob. 7ECh. 6.7 - Prob. 8ECh. 6.7 - Prob. 9ECh. 6.7 - Prob. 10ECh. 6.7 - Prob. 11ECh. 6.7 - Prob. 12ECh. 6.7 - Prob. 13ECh. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Prob. 16ECh. 6.7 - Prob. 17ECh. 6.7 - Prob. 18ECh. 6.7 - Prob. 19ECh. 6.7 - Prob. 20ECh. 6.7 - Prob. 21ECh. 6.7 - Prob. 22ECh. 6.7 - Prob. 23ECh. 6.7 - Prob. 24ECh. 6.7 - Prob. 25ECh. 6.7 - Prob. 26ECh. 6.7 - Prob. 27ECh. 6.7 - Prob. 28ECh. 6.7 - Prob. 29ECh. 6.7 - Prob. 30ECh. 6.7 - Prob. 31ECh. 6.7 - Prob. 32ECh. 6.7 - Prob. 33ECh. 6.7 - Prob. 34ECh. 6.7 - Prob. 35ECh. 6.7 - Prob. 36ECh. 6.7 - Prob. 37ECh. 6.7 - Prob. 38ECh. 6 - Prob. 1CRCh. 6 - Prob. 2CRCh. 6 - Prob. 3CRCh. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CRCh. 6 - Prob. 9CRCh. 6 - Prob. 10CRCh. 6 - Prob. 11CRCh. 6 - Prob. 12CRCh. 6 - Prob. 13CRCh. 6 - Prob. 14CRCh. 6 - Prob. 1CTCh. 6 - Prob. 2CTCh. 6 - Prob. 3CTCh. 6 - Prob. 4CTCh. 6 - Prob. 5CTCh. 6 - Prob. 6CTCh. 6 - Prob. 7CTCh. 6 - Prob. 8CTCh. 6 - Prob. 9CTCh. 6 - Prob. 10CTCh. 6 - Prob. 11CTCh. 6 - Prob. 12CTCh. 6 - Prob. 13CTCh. 6 - Prob. 14CTCh. 6 - Prob. 15CTCh. 6 - Prob. 16CTCh. 6 - Prob. 17CTCh. 6 - Prob. 18CTCh. 6 - Prob. 19CTCh. 6 - Prob. 20CTCh. 6 - Prob. 21CTCh. 6 - Prob. 22CTCh. 6 - Prob. 23CTCh. 6 - Prob. 24CTCh. 6 - Prob. 25CTCh. 6 - Prob. 26CTCh. 6 - Prob. 27CTCh. 6 - Prob. 1CLRCh. 6 - Prob. 2CLRCh. 6 - Prob. 3CLRCh. 6 - Prob. 4CLRCh. 6 - Prob. 5CLRCh. 6 - Prob. 6CLRCh. 6 - Prob. 7CLRCh. 6 - Prob. 8CLRCh. 6 - Prob. 9CLRCh. 6 - Prob. 10CLRCh. 6 - Prob. 11CLRCh. 6 - Prob. 12CLRCh. 6 - Prob. 13CLRCh. 6 - Prob. 14CLRCh. 6 - Prob. 15CLRCh. 6 - Prob. 16CLRCh. 6 - Prob. 17CLRCh. 6 - Prob. 18CLRCh. 6 - Prob. 19CLRCh. 6 - Prob. 20CLRCh. 6 - Prob. 21CLRCh. 6 - Prob. 22CLRCh. 6 - Prob. 23CLRCh. 6 - Prob. 24CLRCh. 6 - Prob. 25CLRCh. 6 - Prob. 26CLRCh. 6 - Prob. 27CLRCh. 6 - Prob. 28CLRCh. 6 - Prob. 29CLRCh. 6 - Prob. 30CLRCh. 6 - Prob. 31CLRCh. 6 - Prob. 32CLRCh. 6 - Prob. 33CLRCh. 6 - Prob. 34CLRCh. 6 - Prob. 35CLRCh. 6 - Prob. 36CLRCh. 6 - Prob. 37CLRCh. 6 - Prob. 38CLRCh. 6 - Prob. 39CLRCh. 6 - Prob. 40CLRCh. 6 - Prob. 1MSCh. 6 - Prob. 2MSCh. 6 - Prob. 3MSCh. 6 - Prob. 4MSCh. 6 - Prob. 5MSCh. 6 - Prob. 6MSCh. 6 - Prob. 7MSCh. 6 - Prob. 8MSCh. 6 - Prob. 9MSCh. 6 - Prob. 10MSCh. 6 - Prob. 11MSCh. 6 - Prob. 12MSCh. 6 - Prob. 13MSCh. 6 - Prob. 14MSCh. 6 - Prob. 15MSCh. 6 - Prob. 16MSCh. 6 - Prob. 17MSCh. 6 - Prob. 18MSCh. 6 - Prob. 19MSCh. 6 - Prob. 20MSCh. 6 - Prob. 21MSCh. 6 - Prob. 22MSCh. 6 - Prob. 23MSCh. 6 - Prob. 24MSCh. 6 - Prob. 25MSCh. 6 - Prob. 26MSCh. 6 - Prob. 27MSCh. 6 - Prob. 28MSCh. 6 - Prob. 29MSCh. 6 - Prob. 30MSCh. 6 - Prob. 31MSCh. 6 - Prob. 32MSCh. 6 - Prob. 33MSCh. 6 - Prob. 34MSCh. 6 - Prob. 35MSCh. 6 - Prob. 36MSCh. 6 - Prob. 37MSCh. 6 - Prob. 38MSCh. 6 - Prob. 39MS

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