/*! 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. 6.9 Factor:聽-4b3+16b2-8b... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 6.9 (page 569)

Factor:-4b3+16b2-8b

Short Answer

Expert verified

The factored form is-4b(b2-b+2).

Step by step solution

01

Step 1. Given information

The given expression is-4b3+16b2-8b.

02

Step 2. Rewrite the given expression  

  • Express each of the term of the given expression as a product of GCF, -4b.

-4b路b2-(-4b)路b+(-4b)路2

  • Use the reverse distributive property, ab+ac=a(b+c)to rewrite the obtained expression.

role="math" localid="1644852269198" -4b路b2-(-4b)路b+(-4b)路2=-4b(b2-b+2)

03

Step 3. Check

  • Multiply the obtained factors.

-4b(b2-b+2)=-4b路b2-(-4b)路b+(-4b)路2=-4b3+4b2-8b

  • 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

In the following exercises, find the greatest common factor.

10p3q,12pq2

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

4w2-5w+1

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

x2-8x+7

In the following exercises, factor completely.

y-33-64y3

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
216a3+125b3
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

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.