/*! 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. 200 In the following exercises, fact... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 200 (page 603)

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
125-27w3

Short Answer

Expert verified

The factored form of the given expression is(5-3w)(25+15w+9w2).

Step by step solution

01

Step 1. Given information.

The given expression is:

125-27w3

02

Step 2. Determine the factored form.

The given expression can be written as:
125-27w3=53-(3w)3=(5-3w)52+(5)(3w)+(3w)2鈭�a3-b3=(a-b)(a2+ab+b2)=(5-3w)25+15w+9w2

03

Step 3. Conclusion.

The factored form of the given expression is (5-3w)(25+15w+9w2).

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 completely using trial and error:8x2-13x+3

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

x2-8x+12

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

6y2+7y+24y+28

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

3x2+6x-9

Why was it important to practice using the binomial squares pattern in the chapter on multiplying polynomials?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Decision 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.