/*! 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. 6.60 Factor:聽x2-6x+9-4y2.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 6.60 (page 598)

Factor:x2-6x+9-4y2.

Short Answer

Expert verified

Factors ofx2-6x+9-4y2arex-3-2yx-3+2y.

Step by step solution

01

Step 1. Given information.

Given an expressionx2-6x+9-4y2.

02

Step 2. Factor by grouping the first 3 therms if it forms a perfect square trinomial. 

Note that .

First 3 terms of the expression are x2-6x+9which can be expressed as x2-2x3+32.

So, Factor by grouping as x2-6x+9=x-32.

It follows that the expression has first 3 terms that forms a perfect square trinomial.

03

Step 3. Write them as square if it is a difference of square.

It can be seen that x-32-4y2is a difference of square.

Consider a=x-3and b=2y.

04

Step 4. Factor as products of conjugates.

Note that .

Therefore, x-32-2y2=x-3-2yx-3+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

In the following exercises, factor.

5x3-3x2+5x鈭�3.

In the following exercises, factor the greatest common factor from each polynomial.

45b-18

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

ab+5a+3b+15

In the following exercises, factor each trinomial of the form x2+bx+c.

b2+14b+48

In the following exercises, factor each trinomial of the formx2+bx+c.

a2+25a+100
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

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.