/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 13 Expand and combine like terms. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 13

Expand and combine like terms. $$ (x+7)(x-7) $$

Short Answer

Expert verified
Based on the step by step solution, the short answer is: Expand the expression $(x+7)(x-7)$ : - Multiply each term in the first binomial by each term in the second binomial. - Apply the distributive property of multiplication again and distribute the terms within the parentheses. - Combine like terms and simplify the expression. The expanded expression is: $(x+7)(x-7) = x^2 - 49$.

Step by step solution

01

Apply the distributive property of multiplication

To expand the expression, multiply each term in the first binomial by each term in the second binomial. $$ (x+7)(x-7) = x(x-7) + 7(x-7) $$
02

Apply the distributive property of multiplication again

Distribute the terms within the parentheses. $$ x(x-7) + 7(x-7) = x^2 - 7x + 7x - 49 $$
03

Combine like terms

Add the terms with the same variable and exponent to simplify the expression. $$ x^2 - 7x + 7x - 49 = x^2 - 49 $$ The expanded expression is: $$ (x+7)(x-7) = x^2 - 49 $$

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

Most popular questions from this chapter

If \(x+y+z=25\), find the value of $$(y-10)+(z+8)+(x-5)$$

In Exercises \(9-19\), rewrite the expression by taking out the common factors. \(2 a x-3 b x\)

Rewrite the expression by taking out the common factors. \(b(b+3)-6(b+3)\)

Rewrite the expression by taking out the common factors. \(-4 a^{2} b-6 a b^{2}-2 a b\)

Factor each expression completely. $$ 16 s^{3} t-24 s^{2} t^{2}+9 s t^{3} $$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.