text: ## Introductory Algebra for College Students (7th Edition)
  
  Published by Pearson
  
  # Chapter 5 - Section 5.3 - Special Products - Exercise Set: 58
  
  #### Answer
  
  $9x^2+2x+\dfrac{1}{9}$
  
  #### Work Step by Step
  
  Using $(a\pm b)^2=a^2\pm2ab+b^2$ or the square of a binomial, the square of the given expression, $\left( 3x+\dfrac{1}{3} \right)^2,$ is \begin{array}{l}\require{cancel} (3x)^2+2(3x)\left( \dfrac{1}{3} \right)+\left( \dfrac{1}{3} \right)^2 \\\\= 9x^2+2x+\dfrac{1}{9} .\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 an excerpt from a college algebra textbook, specifically from Chapter 5, Section 5.3, which covers special products. It includes an exercise problem and its solution. The problem is to find the square of the binomial \(\left( 3x + \frac{1}{3} \right)^2\), and the solution is provided as \(9x^2 + 2x + \frac{1}{9}\).
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: ## Introductory Algebra for College Students (7th Edition)
  
  Published by Pearson
  
  # Chapter 5 - Section 5.3 - Special Products - Exercise Set: 58
  
  #### Answer
  
  $9x^2+2x+\dfrac{1}{9}$
  
  #### Work Step by Step
  
  Using $(a\pm b)^2=a^2\pm2ab+b^2$ or the square of a binomial, the square of the given expression, $\left( 3x+\dfrac{1}{3} \right)^2,$ is \begin{array}{l}\require{cancel} (3x)^2+2(3x)\left( \dfrac{1}{3} \right)+\left( \dfrac{1}{3} \right)^2 \\\\= 9x^2+2x+\dfrac{1}{9} .\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 an excerpt from a college algebra textbook, specifically from Chapter 5, Section 5.3, which covers special products. It includes an exercise problem and its solution. The problem is to find the square of the binomial \(\left( 3x + \frac{1}{3} \right)^2\), and the solution is provided as \(9x^2 + 2x + \frac{1}{9}\).
  
  Label: question-and-answer