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

Chapter 6.6, Problem 28WE

To determine

Simplify: the given expression as fraction.

Expert Solution & Answer

Answer to Problem 28WE

The simplified form of 2a+3b−2a2−b22a−3b is 2a2−8b22a−3b.

Explanation of Solution

Given information:

The expression 2a+3b−2a2−b22a−3b.

Formula used:

Least common denominator: It is the smallest multiple of denominator of set of fractions.

(a+b)(a−b)=a2−b2

2a+3b−2a2−b22a−3b

Recall that Least common denominator is the smallest multiple of denominator of set of fractions.

=2a+3b1−2a2−b22a−3b

Least common denominator for 2a+3b1,2a2−b22a−3b is 2a−3b . So,

=(2a+3b)(2a−3b)−(2a2−b2)2a−3b=(2a)2−(3b)2−2a2+b22a−3b=4a2−9b2−2a2+b22a−3b=2a2−8b22a−3b

The simplified form of 2a+3b−2a2−b22a−3b is 2a2−8b22a−3b.

Chapter 6.6, Problem 27WE

Chapter 6.6, Problem 29WE

Chapter 6 Solutions

Algebra: Structure And Method, Book 1

Ch. 6.1 - Prob. 1OE Ch. 6.1 - Prob. 2OE Ch. 6.1 - Prob. 3OE Ch. 6.1 - Prob. 4OE Ch. 6.1 - Prob. 5OE Ch. 6.1 - Prob. 6OE Ch. 6.1 - Prob. 7OE Ch. 6.1 - Prob. 8OE Ch. 6.1 - Prob. 9OE Ch. 6.1 - Prob. 10OE

Ch. 6.1 - Prob. 11OE Ch. 6.1 - Prob. 12OE Ch. 6.1 - Prob. 13OE Ch. 6.1 - Prob. 14OE Ch. 6.1 - Prob. 15OE Ch. 6.1 - Prob. 16OE Ch. 6.1 - Prob. 1WE Ch. 6.1 - Prob. 2WE Ch. 6.1 - Prob. 3WE Ch. 6.1 - Prob. 4WE Ch. 6.1 - Prob. 5WE Ch. 6.1 - Prob. 6WE Ch. 6.1 - Prob. 7WE Ch. 6.1 - Prob. 8WE Ch. 6.1 - Prob. 9WE Ch. 6.1 - Prob. 10WE Ch. 6.1 - Prob. 11WE Ch. 6.1 - Prob. 12WE Ch. 6.1 - Prob. 13WE Ch. 6.1 - Prob. 14WE Ch. 6.1 - Prob. 15WE Ch. 6.1 - Prob. 16WE Ch. 6.1 - Prob. 17WE Ch. 6.1 - Prob. 18WE Ch. 6.1 - Prob. 19WE Ch. 6.1 - Prob. 20WE Ch. 6.1 - Prob. 21WE Ch. 6.1 - Prob. 22WE Ch. 6.1 - Prob. 23WE Ch. 6.1 - Prob. 24WE Ch. 6.1 - Prob. 25WE Ch. 6.1 - Prob. 26WE Ch. 6.1 - Prob. 27WE Ch. 6.1 - Prob. 28WE Ch. 6.1 - Prob. 29WE Ch. 6.1 - Prob. 30WE Ch. 6.1 - Prob. 31WE Ch. 6.1 - Prob. 32WE Ch. 6.1 - Prob. 33WE Ch. 6.1 - Prob. 34WE Ch. 6.1 - Prob. 35WE Ch. 6.1 - Prob. 36WE Ch. 6.1 - Prob. 37WE Ch. 6.1 - Prob. 38WE Ch. 6.1 - Prob. 39WE Ch. 6.1 - Prob. 40WE Ch. 6.1 - Prob. 41WE Ch. 6.1 - Prob. 42WE Ch. 6.1 - 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Prob. 16OE Ch. 6.5 - Prob. 17OE Ch. 6.5 - Prob. 18OE Ch. 6.5 - Prob. 19OE Ch. 6.5 - Prob. 20OE Ch. 6.5 - Prob. 1WE Ch. 6.5 - Prob. 2WE Ch. 6.5 - Prob. 3WE Ch. 6.5 - Prob. 4WE Ch. 6.5 - Prob. 5WE Ch. 6.5 - Prob. 6WE Ch. 6.5 - Prob. 7WE Ch. 6.5 - Prob. 8WE Ch. 6.5 - Prob. 9WE Ch. 6.5 - Prob. 10WE Ch. 6.5 - Prob. 11WE Ch. 6.5 - Prob. 12WE Ch. 6.5 - Prob. 13WE Ch. 6.5 - Prob. 14WE Ch. 6.5 - Prob. 15WE Ch. 6.5 - Prob. 16WE Ch. 6.5 - Prob. 17WE Ch. 6.5 - Prob. 18WE Ch. 6.5 - Prob. 19WE Ch. 6.5 - Prob. 20WE Ch. 6.5 - Prob. 21WE Ch. 6.5 - Prob. 22WE Ch. 6.5 - Prob. 23WE Ch. 6.5 - Prob. 24WE Ch. 6.5 - Prob. 25WE Ch. 6.5 - Prob. 26WE Ch. 6.5 - Prob. 27WE Ch. 6.5 - Prob. 28WE Ch. 6.5 - Prob. 29WE Ch. 6.5 - Prob. 30WE Ch. 6.5 - Prob. 31WE Ch. 6.5 - Prob. 32WE Ch. 6.5 - Prob. 33WE Ch. 6.5 - Prob. 34WE Ch. 6.5 - Prob. 35WE Ch. 6.5 - Prob. 36WE Ch. 6.5 - Prob. 37WE Ch. 6.5 - Prob. 38WE Ch. 6.5 - Prob. 39WE Ch. 6.5 - Prob. 40WE Ch. 6.5 - Prob. 41WE Ch. 6.5 - Prob. 42WE Ch. 6.5 - Prob. 43WE Ch. 6.5 - Prob. 44WE Ch. 6.5 - 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