Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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Question

Chapter 5.6, Problem 29WE

To determine

To simplify the given expression.

Expert Solution & Answer

Answer to Problem 29WE

2ba−b

Explanation of Solution

Given:

Expression: a+ba−b+a−ba+b+b−aa−b+b−aa+b

Calculation:

Consider the given expression a+ba−b+a−ba+b+b−aa−b+b−aa+b ,

Regrouping the terms,

⇒a+ba−b+b−aa−b+a−ba+b+b−aa+b

Adding the terms with like denominators by simply adding their numerators and put the result on the same denominator.

a+ba−b+b−aa−b+a−ba+b+b−aa+b=(a+ba−b+b−aa−b)+(a−ba+b+b−aa+b)

=(a+b+b−aa−b)+(a−b+b−aa+b)

=(a+b+b−aa−b)+(a−b+b−aa+b)=(2ba−b)+(0a+b)=2ba−b

Conclusion:

Therefore, after simplification, the answer is 2ba−b .

Chapter 5.6, Problem 28WE

Chapter 5.6, Problem 30WE

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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