14186d61-d610-4204-859c-d89c4ed7b6a6.html

<h4>Creating Perfect Square Trinomials</h4>
<p>A <span class="os-raise-ib-tooltip" data-schema-version="1.0" data-store="glossary-tooltip">perfect square trinomial</span> is created by multiplying a binomial by itself.</p>
<p><strong>Example</strong></p>
<p>Write \((x-2)^2\) as an expanded polynomial in standard form:</p>
<p><strong>Step 1</strong> - Multiply the binomial by itself.<br>
  \((x-2)(x-2)\)</p>
<p><strong>Step 2</strong> - Use the <span class="os-raise-ib-tooltip" data-schema-version="1.0" data-store="glossary-tooltip">distributive property</span> to expand (FOIL).<br>
  \(x^2-2x-2x+4\)</p>
<p><strong>Step 3</strong> - Combine like terms.<br>
  \(x^2-4x+4\)</p>
<h4>Try It: Creating Perfect Square Trinomials</h4>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
  <div class="os-raise-ib-cta-content">
    <p>Write \((x+5)^2\) as an expanded polynomial in standard form.</p>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
  </div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal1">
  <p>Here is how to expand the polynomial:</p>
  <p><strong>Step 1</strong> - Multiply the binomial by itself.<br>
    \((x+5)(x+5)\)</p>
  <p><strong>Step 2</strong> - Use the distributive property (FOIL).<br>
    \(x^2 +5x+5x+25\)</p>
  <p><strong>Step 3</strong> - Combine like terms.<br>
    \(x^2+10x+25\)</p>
</div>