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		<id>https://minidemo.mathonline.se/index.php?action=history&amp;feed=atom&amp;title=1.4_L%C3%B6sning_7c</id>
		<title>1.4 Lösning 7c - Versionshistorik</title>
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		<updated>2026-06-21T21:58:30Z</updated>
		<subtitle>Versionshistorik för denna sida på wikin</subtitle>
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	<entry>
		<id>https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_7c&amp;diff=12008&amp;oldid=prev</id>
		<title>Taifun den 3 augusti 2014 kl. 10.43</title>
		<link rel="alternate" type="text/html" href="https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_7c&amp;diff=12008&amp;oldid=prev"/>
				<updated>2014-08-03T10:43:58Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Versionen från 3 augusti 2014 kl. 10.43&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&amp;lt;math&amp;gt; {1 - x\,y \over (x\,y)^2 - x\,y} \; = \; {1 - x\,y \over x\,y \cdot (x\,y - 1)} \; = \; {(-1) \cdot (-1 + x\,y) \over x\,y \cdot (x\,y - 1)} \; = \; &amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&amp;lt;math&amp;gt; {1&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;x\,y \over (x\,y)^2&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;x\,y} \; = \; {1&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;x\,y \over x\,y&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;\cdot&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;(x\,y&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1)} \; = \; {(-1)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;\cdot&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;(-1&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;+&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;x\,y) \over x\,y&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;\cdot&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;(x\,y&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1)} \; = \; &amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&amp;lt;math&amp;gt; = \; {(-1) \cdot (x\,y - 1) \over x\,y \cdot (x\,y - 1)} \; = \; {(-1) \over x\,y} \; = \; - {1 \over x\,y} &amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&amp;lt;math&amp;gt; = \; {(-1)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;\cdot&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;(x\,y&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1) \over x\,y&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;\cdot&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;(x\,y&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\,&lt;/ins&gt;1)} \; = \; {(-1) \over x\,y} \; = \; - {1 \over x\,y} &amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

	<entry>
		<id>https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_7c&amp;diff=12007&amp;oldid=prev</id>
		<title>Taifun den 3 augusti 2014 kl. 10.40</title>
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				<updated>2014-08-03T10:40:38Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Versionen från 3 augusti 2014 kl. 10.40&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; {1 - x\,y \over (x\,y)^2 - x\,y} \; = \; {1 - x\,y \over x\,y \cdot (x\,y - 1)} \; = \; {(-1) \cdot (-1 + x\,y) \over x\,y \cdot (x\,y - 1)} \; = \; &amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&lt;/ins&gt;&amp;lt;math&amp;gt; {1 - x\,y \over (x\,y)^2 - x\,y} \; = \; {1 - x\,y \over x\,y \cdot (x\,y - 1)} \; = \; {(-1) \cdot (-1 + x\,y) \over x\,y \cdot (x\,y - 1)} \; = \; &amp;lt;/math&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&lt;/ins&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt; = \; {(-1) \cdot (x\,y - 1) \over x\,y \cdot (x\,y - 1)} \; = \; {(-1) \over x\,y} \; = \; - {1 \over x\,y} &amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;big&amp;gt;&amp;lt;big&amp;gt;&lt;/ins&gt;&amp;lt;math&amp;gt; = \; {(-1) \cdot (x\,y - 1) \over x\,y \cdot (x\,y - 1)} \; = \; {(-1) \over x\,y} \; = \; - {1 \over x\,y} &amp;lt;/math&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/big&lt;/ins&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

	<entry>
		<id>https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_7c&amp;diff=2754&amp;oldid=prev</id>
		<title>Taifun: Created page with &quot;&lt;math&gt; {1 - x\,y \over (x\,y)^2 - x\,y} \; = \; {1 - x\,y \over x\,y \cdot (x\,y - 1)} \; = \; {(-1) \cdot (-1 + x\,y) \over x\,y \cdot (x\,y - 1)} \; = \; &lt;/math&gt;   &lt;math&gt; = \; ...&quot;</title>
		<link rel="alternate" type="text/html" href="https://minidemo.mathonline.se/index.php?title=1.4_L%C3%B6sning_7c&amp;diff=2754&amp;oldid=prev"/>
				<updated>2011-03-05T15:26:10Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;math&amp;gt; {1 - x\,y \over (x\,y)^2 - x\,y} \; = \; {1 - x\,y \over x\,y \cdot (x\,y - 1)} \; = \; {(-1) \cdot (-1 + x\,y) \over x\,y \cdot (x\,y - 1)} \; = \; &amp;lt;/math&amp;gt;   &amp;lt;math&amp;gt; = \; ...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Ny sida&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;math&amp;gt; {1 - x\,y \over (x\,y)^2 - x\,y} \; = \; {1 - x\,y \over x\,y \cdot (x\,y - 1)} \; = \; {(-1) \cdot (-1 + x\,y) \over x\,y \cdot (x\,y - 1)} \; = \; &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; = \; {(-1) \cdot (x\,y - 1) \over x\,y \cdot (x\,y - 1)} \; = \; {(-1) \over x\,y} \; = \; - {1 \over x\,y} &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

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