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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Question
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Chapter 6.5, Problem 55WE
To determine

Find the simplified form of the given expression.

Expert Solution & Answer
Check Mark

Answer to Problem 55WE

The simplified form of the expression is 1a2 .

Explanation of Solution

Given:

The given expression is a+2a2+5a+62+a4a2+2aa2+a6 .

Calculation:

Rewrite the given expression.

  a+2a2+5a+62+a4a2+2aa2+a6=a+2a2+3a+2a+62+a22a2+2aa2+3a2a6=a+2a(a+3)+2(a+3)2+a(2+a)(2a)+2aa(a+3)2(a+3)=a+2(a+2)(a+3)2+a(2+a)(2a)+2a(a+3)(a2)=1(a+3)1(2a)2a(a+3)(2a)

Since the denominators are different, rewrite the fractions using their least common denominator, (a+3)(2a) .

  =(2a)(a+3)(2a)(a+3)(2a)(a+3)2a(a+3)(2a)

Use addition/subtraction rule of fraction.

  ac±bc=a±bc

To add/subtract fractions with the same denominator, add/subtract their numerators and write the result over the common denominator.

  =2aa32+a(a+3)(2a)=a3(a+3)(2a)=(a+3)(a+3)(2a)=12a=1a2

Hence the simplified form of the expression is 1a2 .

Chapter 6 Solutions

Algebra: Structure And Method, Book 1

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 - 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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 - 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