Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q. 371 (page 898)

Factor by grouping

ax−ay+bx−by

Short Answer

Expert verified

Factor is:ax−ay+bx−by=(x-y)(a+b)

Step by step solution

01

Step 1. Given information

given expression

ax−ay+bx−by

02

Step 2. Grouping given expression, 

ax−ay+bx−by=(ax+bx)(-ay-by)

03

Step 3. Factor

(ax+bx)(-ay-by)=x(a+b)-y(a+b)=(a+b)(x-y)

Therefore, the factor of the given expression is(a+b)(x-y)

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

In the following exercises, factors completely:

c3-1000d3.

Factor:6y3-15y2.

A rectangular patio has an area of 180square feet. The width of the patio is three feet less than the length. Find the length and width of the patio

Solve:16y2=32y3+2y

In the following exercises, factor completely.

15pq−15p+12q−12
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

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.

Sign-up for free