/*! 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} Q12. Find the greatest common factor ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q12. (page 177)

Find the greatest common factor of the monomials.

32y2,6x2y

Short Answer

Expert verified

The greatest common factor is 2y.

Step by step solution

01

Step-1 – Define monomials

A monomial is an expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient.

02

Step-2 – Define greatest common factor

A common factor is a whole number that is a factor of two or more nonzero whole numbers. The greatest of the common factors is the greatest common factor (GCF). The same concept is applicable to the monomials.

03

Step-3 – Factor the monomials

The factors of 6x2yare: 6x2y=2脳3脳y脳x脳x.

The factors of 32y2are: localid="1651713996662" 32y2=2脳2脳2脳2脳2脳y脳y

Since 2脳yis common between the two monomials, therefore, the greatest common factor is 2y.

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

Write the mixed number as an improper fraction. 625

Find the greatest number of identical first 鈥� aid kits that can make. Also, find the number of each first 鈥� aid kit contain if you have 48bandages,15squares of gauze,6tubes of antibiotic ointment andice packs.

Find the greatest common factor of the numbers.

34, 85

Tell whether the number is prime or composite.

121

Write all the factors of the number.

60
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

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.