Explanation Given information: Given expression is x 2 + x y + 2 x + 2 y x + 2 Concept Used: To simplify a given expression, we have to find the common factor of the numerator and denominator and then divide them by the common factor. Calculation: As the given expression is x 2 + x y + 2 x + 2 y x + 2 , first let’s simplify numerator As numerator x 2 + x y + 2 x + 2 y can be written as ( x + 2 ) ( x + y ) Now, as we can see ( x + 2 ) is common in both numerator and denominator, factoring it out as x 2 + x y + 2 x + 2 y x + 2 = ( x + 2 )

2nd Edition

ISBN: 9780135257500

Author: Martin-Gay

Publisher: PEARSON

See similar textbooks

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.

Videos

Question

Chapter 14.1, Problem 39ES

To determine

To simplify the given expression

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.1, Problem 38ES

Chapter 14.1, Problem 40ES

Students have asked these similar questions

MTQWMZA4OT95NJA4/a/MJQ1ND91MTK3NTK5/details Open with Google Docs EXAMPLES 1. Write an expression for the area and perimeter of the rectangle below. Expand and simplify each expression. 3x 5x + 1 2. A triangle has a perimeter of 9x + 12. If two of its sides have lengths of 3x +5 and 2x - 3, find the missing side. 3. The length of a rectangle is 7 less than twice the width. Write a simplified expression for its area and perimeter. Expand and simplify each expression. Page

Help

A rectangle has length 14x and width y. Strips of width x-8 are cut from the rectangle as shown. Write an expression that represents the area of the rectangle that remains. Expand and simplify the expression. X -8 X-8 y 14x

Chapter 14 Solutions

Algebra Foundations

Ch. 14.1 - Use the choices below to fill in each blank. Some...Ch. 14.1 - Prob. 2VRVC Ch. 14.1 - Prob. 3VRVC Ch. 14.1 - Prob. 4VRVC Ch. 14.1 - Prob. 5VRVC Ch. 14.1 - Prob. 6VRVC Ch. 14.1 - Prob. 7VRVC Ch. 14.1 - Prob. 8VRVC Ch. 14.1 - Prob. 1ES Ch. 14.1 - Prob. 2ES

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

To simplify the given expression

Solution Summary: The author explains that to simplify a given expression, we have to find the common factor of the numerator and denominator.

Concept explainers

Videos

To simplify the given expression

Want to see the full answer?

Chapter 14 Solutions