/*! 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} Q. 287 In the following exercises, fact... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 287 (page 878)

In the following exercises, factor completely.

121r2-s2

Short Answer

Expert verified

The factored form of the polynomial is121r2-s2=(11r-s)(11r+s).

Step by step solution

01

Step 1. Given Information. 

The Given Polynomial is121r2-s2.

02

Step 2. Factoring by the difference of square formula.

Terms of the polynomial do not have any common factor.

The polynomial is binomial of difference of square

So factorize it by using the formula of difference of square.

121r2-s2=(11r)2-s2=(11r-s)(11r+s)

Now the polynomial cannot be factored further.

So factored form is121r2-s2=(11r-s)(11r+s).

03

Step 3. Verification.    

Check whether the expanded form of the factored polynomial is equal to the original polynomial or not.

121r2-s2=?(11r-s)(11r+s)121r2-s2=?(11r)2-s2121r2-s2=121r2-s2

The left-hand side is equal to the right-hand side so factored form is correct.

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

Factor Sums and Differences of Cubes

In the following exercises, factor.

b3-216

Factor:-16z-64.

In the following exercises, factors completely:

6u2+3u-18.

Factor:4mm+3-7m+3

A rectangular sign has an area of 30square feet. The length of the sign is one foot more than the width. Find the length and width of the sign.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

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.