/*! 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. 384 In the following exercise, facto... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 384 (page 635)

In the following exercise, factor completely using the perfect square trinomials pattern.

36a2鈭�84ab+49b2

Short Answer

Expert verified

The factorisation of the given polynomial is:

36a2鈭�84ab+49b2=(6a-7b)2

Step by step solution

01

Step 1. Given information 

The given polynomial is:

36a2鈭�84ab+49b2

02

Step 2. Factorise the polynomial 

We know that,

a-b2=a2-2ab+b2

For polynomial 36a2鈭�84ab+49b2we have:

36a2鈭�84ab+49b2(6a)2-2脳6a脳7b+7b2[Using(a-b)2=a2-2ab+b2]6a-7b2

Thus, the factorisation of the given polynomial is:

localid="1644655841881" 36a2-84ab+49b2=(6a-7b)2

03

Step 3. check the answer

Multiplying the factors, we get:

36a2-84ab+49b2=(6a-7b)236a2-84ab+49b2=6a-7b)(6a-7b36a2-84ab+49b2=36a2-84ab+49b2

This is true.

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 each trinomial of the form x2+bx+c.

q2-13q+36

Factor Trinomials of the Form ax2+bx+cUsing Trial and Error.

role="math" localid="1644572552533" 11x2+34x+3

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

cd+6c+4d+24

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

uv-9u+2v-18

In the following exercises, factor.

x2+xy+5x+5y.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Statistics

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.