Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 6: Q 298. (page 729)

Multiply the following
$(a) (x + 2) (x 鈭� 2) (b) (y + 7) (y 鈭� 7) (c) (w + 5) (w 鈭� 5)$
Explain the pattern that you see in your answers.

Short Answer

Expert verified

We observe that If we multiply the two binomial $(x + y) (x - y)$ then the result will be $x^{2} - y^{2}$ .

Step by step solution

Part (a) Step 1. Given information.

The given expression is: $(x + 2) (x 鈭� 2)$ .

Part (a) Step 2. Use the FOIL method to multiply.

$(x + 2) (x - 2) = x 脳 x + x 脳 (- 2) + 2 脳 x + 2 脳 (- 2) = x^{2} - 2 x + 2 x - 4 = x^{2} - 4$

Part (b) Step 1. Given information.

The given expression is: $(y + 7) (y - 7)$ .

Part (b) Step 2. Use the FOIL method to multiply.

$(y + 7) (y 鈭� 7) = y 脳 y + y 脳 (- 7) + 7 脳 y + 7 脳 (- 7) = y^{2} - 7 y + 7 y - 49 = y^{2} - 49$

Part (c) Step 1. Given information.

The given expression is: $(w + 5) (w - 5)$ .

Part (c) Step 2. Use the FOIL method to multiply.

$(w + 5) (w - 5) = w 脳 w + w 脳 (- 5) + 5 脳 w + 5 脳 (- 5) = w^{2} - 5 w + 5 w - 25 = w^{2} - 25$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Multiply the following
$(a) (x + 2) (x 鈭� 2) (b) (y + 7) (y 鈭� 7) (c) (w + 5) (w 鈭� 5)$
Explain the pattern that you see in your answers.

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Use the FOIL method to multiply.

Part (b) Step 1. Given information.

Part (b) Step 2. Use the FOIL method to multiply.

Part (c) Step 1. Given information.

Part (c) Step 2. Use the FOIL method to multiply.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Applied Mathematics

Probability and Statistics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

91影视

Multiply the following(a)(x+2)(x鈭�2)(b)(y+7)(y鈭�7)(c)(w+5)(w鈭�5)Explain the pattern that you see in your answers.

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Use the FOIL method to multiply.

Part (b) Step 1. Given information.

Part (b) Step 2. Use the FOIL method to multiply.

Part (c) Step 1. Given information.

Part (c) Step 2. Use the FOIL method to multiply.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Applied Mathematics

Probability and Statistics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Multiply the following
$(a) (x + 2) (x 鈭� 2) (b) (y + 7) (y 鈭� 7) (c) (w + 5) (w 鈭� 5)$
Explain the pattern that you see in your answers.