/*! 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 7.112 Factor:聽27-8y3... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q 7.112 (page 864)

Factor:27-8y3

Short Answer

Expert verified

The factorization of the expression is(3-2y)(9+6y+4y2)

Step by step solution

01

Step 1. Given information

Given expression is27-8y3

02

Step 2. Write the terms as a cube a3-b3

a3-b3=(3)3-(2y)3

03

Step 3. Write the difference in the cubes pattern and simplify.

(a-b)(a2+ab+b2)=(3-2y)(32+3脳2y+(2y)2)=(3-2y)(9+6y+4y2)

04

Step 4. Check

(3-2y)(9+6y+4y2)=27-18y+18y-12y2+12y2-8y3=27-8y3

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

Factor Differences of Squares

In the following exercises, factor.

1-16s2

Factor:-7a2+21a.

Pumpkin drop A fall tradition at the University of California San Diego is the Pumpkin Drop, where a pumpkin is dropped from the eleventh story of Tioga Hall.

(a) The binomial -16t2+128 gives the height of the pumpkin t seconds after it is dropped. Factor the greatest common factor from this binomial.

(b) If the pumpkin is thrown down with initial velocity 32 feet per second, its height after t seconds is given by the trinomial -16t2-32t+128.Completely factor this trinomial.

Factor by grouping

ax鈭�ay+bx鈭�by

In the following exercises, factors completely:

3x2-75y2.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

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.