Homework Help is Here – Start Your Trial Now!
Math
Algebra
Put a comma between your answers. Question 25 Find an expression for the area of the shaded region, and then factor it completely. Area = Submit Assessment € 6 6 4

Put a comma between your answers. Question 25 Find an expression for the area of the shaded region, and then factor it completely. Area = Submit Assessment € 6 6 4

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
100%
**Question 25** Find an expression for the area of the shaded region, and then factor it completely. In the image, there is a large square with side length \( x \), and a smaller square inside it with side length 6. The smaller square is centered within the larger square, creating a shaded region between the two squares. To determine the area of the shaded region: 1. Calculate the area of the larger square: \( x^2 \). 2. Calculate the area of the smaller square: \( 6 \times 6 = 36 \). 3. Subtract the area of the smaller square from the larger square to find the area of the shaded region: \( x^2 - 36 \). The expression for the area of the shaded region is \( x^2 - 36 \). Next, factor the expression completely: The expression \( x^2 - 36 \) is a difference of squares, which can be factored as: \[ (x + 6)(x - 6) \] Therefore, the factored expression for the area of the shaded region is \( (x + 6)(x - 6) \). **Area =** \[ (x + 6)(x - 6) \] [Submit Assessment]
Transcribed Image Text:**Question 25** Find an expression for the area of the shaded region, and then factor it completely. In the image, there is a large square with side length \( x \), and a smaller square inside it with side length 6. The smaller square is centered within the larger square, creating a shaded region between the two squares. To determine the area of the shaded region: 1. Calculate the area of the larger square: \( x^2 \). 2. Calculate the area of the smaller square: \( 6 \times 6 = 36 \). 3. Subtract the area of the smaller square from the larger square to find the area of the shaded region: \( x^2 - 36 \). The expression for the area of the shaded region is \( x^2 - 36 \). Next, factor the expression completely: The expression \( x^2 - 36 \) is a difference of squares, which can be factored as: \[ (x + 6)(x - 6) \] Therefore, the factored expression for the area of the shaded region is \( (x + 6)(x - 6) \). **Area =** \[ (x + 6)(x - 6) \] [Submit Assessment]
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS