e77e0d5a-f6f2-4013-8a4d-07069bac8b4e.html

<h3>Cool Down (5 minutes)</h3>
<h4>Student Activity</h4>
<ol class="os-raise-noindent">
  <li>Draw a diagram to show that \((3x+1)(x+2)\) is equivalent to \(3x^2+7x+2\).</li>
</ol>
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
<p><strong>Answer:&nbsp;</strong>Diagram should show partial products of \(3x(x)\), \(6x\), \(x\), and 2, which add up to \(3x^2+7x+2\).</p>
<p><img height="174" src="https://k12.openstax.org/contents/raise/resources/7cd83e7946410aa753c891045d8c29dbbf01b4cd" width="262"></p>
<ol class="os-raise-noindent" start="2">
  <li>Is \((x+4)^2\) equivalent to \(2x^2+8x+8\)? Explain or show your reasoning.</li>
</ol>
<p><strong>Answer:&nbsp;</strong>No. \((x+4)(x+4)=x^2+4x+4x+16=x^2+8x+16\).&nbsp;</p>