/*! 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. 6.13 Factor by grouping:聽xy+8y+3x+24... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 6.13 (page 570)

Factor by grouping:xy+8y+3x+24

Short Answer

Expert verified

The factored form is(8+x)(y+3).

Step by step solution

01

Step 1. Given Information

The given expression isxy+8y+3x+24

02

Step 2. Rewrite the given expression

  • All four terms do not have the greatest common factor.
  • Factor the GCF, yfrom the first 2 terms of the given expression.

y(8+x)+3x+24

  • Factor the GCF, 3 from the last two terms of the obtained expression.

y(8+x)+3(x+8)=y(8+x)+3(8+x)

  • Factor out the common factor 8+xin the obtained expression.

role="math" localid="1644905423571" y(8+x)+3(8+x)=(8+x)(y+3)

03

Step 3. Check

  • Multiply the obtained factors.

(8+x)(y+3)=8y+24+xy+3x=xy+8y+3x+24

  • Since the obtained expression is the same as the given expression, the obtained factors are verified.

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

Maribel factored y2-30y+81as (y-9)2. Was she right or wrong? How do you know?

Factor9m+m2+18

Factor by Grouping
In the following exercises, factor by grouping.

mn鈭�6m鈭�4n+24.

In the following exercises, factor completely.

125-8y3

Factor by Grouping In the following exercises, factor by grouping.

8y2+y+40y+5
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

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.