# Chapter 5 - Section 5.3 - Special Factoring - 5.3 Exercises - Page 343: 49

$(x-2y)(x^2+2xy+4y^2)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To factor the given expression, $x^3-8y^3 ,$ use the factoring of the sum/difference of $2$ cubes. $\bf{\text{Solution Details:}}$ Using $(a\pm b)(a^2\mp ab+b^2)$ or the factoring of the sum/difference of $2$ cubes, the expression above is equivalent to \begin{array}{l}\require{cancel} (x-2y)[(x)^2+x(2y)+(2y)^2] \\\\= (x-2y)(x^2+2xy+4y^2) .\end{array}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
The text passage contains a mathematical expression and its factored form, but does not contain a question or an explicit answer to a question.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Chapter 5 - Section 5.3 - Special Factoring - 5.3 Exercises - Page 343: 49

$(x-2y)(x^2+2xy+4y^2)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To factor the given expression, $x^3-8y^3 ,$ use the factoring of the sum/difference of $2$ cubes. $\bf{\text{Solution Details:}}$ Using $(a\pm b)(a^2\mp ab+b^2)$ or the factoring of the sum/difference of $2$ cubes, the expression above is equivalent to \begin{array}{l}\require{cancel} (x-2y)[(x)^2+x(2y)+(2y)^2] \\\\= (x-2y)(x^2+2xy+4y^2) .\end{array}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
user
The text passage contains a mathematical expression and its factored form, but does not contain a question or an explicit answer to a question.

TYPE: NO_QUESTION