## 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.
The text passage contains a mathematical question in the form of an exercise problem, and the answer to that question is provided in the "Answer" and "Work Step by Step" sections.
single_question_with_answer
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
## 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.
user
The text passage contains a mathematical question in the form of an exercise problem, and the answer to that question is provided in the "Answer" and "Work Step by Step" sections.

TYPE: SINGLE_QUESTION_WITH_ANSWER