@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr: a skos:ConceptScheme .
psr:-J84J2DFZ-3
  skos:exactMatch <https://fr.wikipedia.org/wiki/Diff%C3%A9rence_de_deux_carr%C3%A9s>, <https://en.wikipedia.org/wiki/Difference_of_two_squares> ;
  dc:modified "2023-07-13"^^xsd:date ;
  skos:broader psr:-FTGGBTC5-X, psr:-VTR5XXB2-M ;
  skos:definition """En mathématiques, la <b>différence de deux carrés</b> est un nombre au carré (multiplié par lui-même) soustrait d'un autre nombre au carré. Toute différence de carrés peut être factorisée selon l'identité:
<br/>
<br/><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle a^{2}-b^{2}=(a+b)(a-b)}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msup>
<br/>          <mi>a</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>−<!-- − --></mo>
<br/>        <msup>
<br/>          <mi>b</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>=</mo>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>a</mi>
<br/>        <mo>+</mo>
<br/>        <mi>b</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>a</mi>
<br/>        <mo>−<!-- − --></mo>
<br/>        <mi>b</mi>
<br/>        <mo stretchy="false">)</mo>
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<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle a^{2}-b^{2}=(a+b)(a-b)}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d52e4cff7a7157a34586d9a29df412a7d37f574" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:24.029ex; height:3.176ex;" alt="{\\\\displaystyle a^{2}-b^{2}=(a+b)(a-b)}"></span></dd></dl>
<br/>en algèbre élémentaire. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Diff%C3%A9rence_de_deux_carr%C3%A9s">https://fr.wikipedia.org/wiki/Diff%C3%A9rence_de_deux_carr%C3%A9s</a>)"""@fr, """In mathematics, the <b>difference of two squares</b> is a squared (multiplied by itself) number subtracted from another squared number. Every difference of squares may be factored according to the identity
<br/>
<br/><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle a^{2}-b^{2}=(a+b)(a-b)}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msup>
<br/>          <mi>a</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>−<!-- − --></mo>
<br/>        <msup>
<br/>          <mi>b</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
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<br/>        </msup>
<br/>        <mo>=</mo>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>a</mi>
<br/>        <mo>+</mo>
<br/>        <mi>b</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>a</mi>
<br/>        <mo>−<!-- − --></mo>
<br/>        <mi>b</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle a^{2}-b^{2}=(a+b)(a-b)}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d52e4cff7a7157a34586d9a29df412a7d37f574" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:24.029ex; height:3.176ex;" alt="a^2-b^2 = (a+b)(a-b)"></span></dd></dl>
<br/>in elementary algebra. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Difference_of_two_squares">https://en.wikipedia.org/wiki/Difference_of_two_squares</a>)"""@en ;
  a skos:Concept ;
  skos:prefLabel "difference of two squares"@en, "différence de deux carrés"@fr ;
  dc:created "2023-07-13"^^xsd:date ;
  skos:inScheme psr: .

psr:-VTR5XXB2-M
  skos:prefLabel "identité"@fr, "identity"@en ;
  a skos:Concept ;
  skos:narrower psr:-J84J2DFZ-3 .

psr:-FTGGBTC5-X
  skos:prefLabel "algèbre commutative"@fr, "commutative algebra"@en ;
  a skos:Concept ;
  skos:narrower psr:-J84J2DFZ-3 .