text: # 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.
explanation: The document is a solution to a math problem from a textbook, specifically from Chapter 5, Section 5.3, which covers special factoring. The problem is to factor the expression \(x^3 - 8y^3\), and the solution provided is \((x-2y)(x^2+2xy+4y^2)\). The document does not contain a question but rather a problem statement and its solution.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # 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.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a solution to a math problem from a textbook, specifically from Chapter 5, Section 5.3, which covers special factoring. The problem is to factor the expression \(x^3 - 8y^3\), and the solution provided is \((x-2y)(x^2+2xy+4y^2)\). The document does not contain a question but rather a problem statement and its solution.
  
  Label: no-question