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		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?action=history&amp;feed=atom&amp;title=L%C3%B6sung_3.4%3A1a</id>
		<title>Lösung 3.4:1a - Versionsgeschichte</title>
		<link rel="self" type="application/atom+xml" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?action=history&amp;feed=atom&amp;title=L%C3%B6sung_3.4%3A1a"/>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;action=history"/>
		<updated>2026-05-02T20:28:59Z</updated>
		<subtitle>Versionsgeschichte für diese Seite in Online Mathematik Brückenkurs 2</subtitle>
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	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=5150&amp;oldid=prev</id>
		<title>Sekretariat1 um 11:16, 4. Sep. 2009</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=5150&amp;oldid=prev"/>
				<updated>2009-09-04T11:16:10Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&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&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 11:16, 4. Sep. 2009&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Der Zähler kann durch &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;einer &lt;/del&gt;der binomischen Formeln in Faktoren zerlegt werden, sodass &amp;lt;math&amp;gt;x^2-1=(x+1)(x-1)&amp;lt;/math&amp;gt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;, und wir &lt;/del&gt;erhalten dadurch&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Der Zähler kann durch &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;eine &lt;/ins&gt;der binomischen Formeln in Faktoren zerlegt werden, sodass &amp;lt;math&amp;gt;x^2-1=(x+1)(x-1)&amp;lt;/math&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;. Wir &lt;/ins&gt;erhalten dadurch&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{Abgesetzte Formel||&amp;lt;math&amp;gt;\frac{x^{2}-1}{x-1}=\frac{(x+1)(x-1)}{x-1}=x+1\,\textrm{.}&amp;lt;/math&amp;gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{Abgesetzte Formel||&amp;lt;math&amp;gt;\frac{x^{2}-1}{x-1}=\frac{(x+1)(x-1)}{x-1}=x+1\,\textrm{.}&amp;lt;/math&amp;gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Sekretariat1</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=4443&amp;oldid=prev</id>
		<title>Martin um 12:42, 21. Mai 2009</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=4443&amp;oldid=prev"/>
				<updated>2009-05-21T12:42:36Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&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&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 12:42, 21. Mai 2009&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;The numerator can be factorized using the formula for the difference of two squares to give &lt;/del&gt;&amp;lt;math&amp;gt;x^2-1=(x+1)(x-1)&amp;lt;/math&amp;gt; &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;and then we see that the numerator and denominator have a common factor which we can eliminate&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Der Zähler kann durch einer der binomischen Formeln in Faktoren zerlegt werden, sodass &lt;/ins&gt;&amp;lt;math&amp;gt;x^2-1=(x+1)(x-1)&amp;lt;/math&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;, und wir erhalten dadurch&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{Abgesetzte Formel||&amp;lt;math&amp;gt;\frac{x^{2}-1}{x-1}=\frac{(x+1)(x-1)}{x-1}=x+1\,\textrm{.}&amp;lt;/math&amp;gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{Abgesetzte Formel||&amp;lt;math&amp;gt;\frac{x^{2}-1}{x-1}=\frac{(x+1)(x-1)}{x-1}=x+1\,\textrm{.}&amp;lt;/math&amp;gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Martin</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=3814&amp;oldid=prev</id>
		<title>Tekbot: Solution 3.4:1a moved to Lösung 3.4:1a: Robot: moved page</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=3814&amp;oldid=prev"/>
				<updated>2009-03-11T10:50:15Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;a href=&quot;/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=Solution_3.4:1a&amp;amp;action=edit&quot; class=&quot;new&quot; title=&quot;Solution 3.4:1a&quot;&gt;Solution 3.4:1a&lt;/a&gt; moved to &lt;a href=&quot;/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_3.4:1a&quot; title=&quot;Lösung 3.4:1a&quot;&gt;Lösung 3.4:1a&lt;/a&gt;: Robot: moved page&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&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&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 10:50, 11. Mär. 2009&lt;/td&gt;
			&lt;/tr&gt;
		&lt;/table&gt;</summary>
		<author><name>Tekbot</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=3147&amp;oldid=prev</id>
		<title>Tekbot: Robot: Automated text replacement  (-{{Displayed math +{{Abgesetzte Formel)</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=3147&amp;oldid=prev"/>
				<updated>2009-03-10T13:14:34Z</updated>
		
		<summary type="html">&lt;p&gt;Robot: Automated text replacement  (-{{Displayed math +{{Abgesetzte Formel)&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&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&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 13:14, 10. Mär. 2009&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The numerator can be factorized using the formula for the difference of two squares to give &amp;lt;math&amp;gt;x^2-1=(x+1)(x-1)&amp;lt;/math&amp;gt; and then we see that the numerator and denominator have a common factor which we can eliminate&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The numerator can be factorized using the formula for the difference of two squares to give &amp;lt;math&amp;gt;x^2-1=(x+1)(x-1)&amp;lt;/math&amp;gt; and then we see that the numerator and denominator have a common factor which we can eliminate&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Displayed math&lt;/del&gt;||&amp;lt;math&amp;gt;\frac{x^{2}-1}{x-1}=\frac{(x+1)(x-1)}{x-1}=x+1\,\textrm{.}&amp;lt;/math&amp;gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Abgesetzte Formel&lt;/ins&gt;||&amp;lt;math&amp;gt;\frac{x^{2}-1}{x-1}=\frac{(x+1)(x-1)}{x-1}=x+1\,\textrm{.}&amp;lt;/math&amp;gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tekbot</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=2870&amp;oldid=prev</id>
		<title>Tek um 11:44, 31. Okt. 2008</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=2870&amp;oldid=prev"/>
				<updated>2008-10-31T11:44:02Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&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&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 11:44, 31. Okt. 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The numerator can be factorized using the &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;conjugate rule &lt;/del&gt;to give &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The numerator can be factorized using the &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;formula for the difference of two squares &lt;/ins&gt;to give &amp;lt;math&amp;gt;x^2-1=(x+1)(x-1)&amp;lt;/math&amp;gt; and then we see that the numerator and denominator have a common factor which we can eliminate&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;x^&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;2&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;-1=&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\left&lt;/del&gt;( x+1 &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\right&lt;/del&gt;)&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\left&lt;/del&gt;( x-1 &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\right&lt;/del&gt;)&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;and then we see that the numerator and denominator have a common factor which we can eliminate&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{{Displayed math||&lt;/ins&gt;&amp;lt;math&amp;gt;\frac{x^{2}-1}{x-1}=\frac{(x+1)(x-1)}{x-1}=x+1&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\,\textrm{.}&lt;/ins&gt;&amp;lt;/math&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\frac{x^{2}-1}{x-1}=\frac{&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\left&lt;/del&gt;( x+1 &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\right&lt;/del&gt;)&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\left&lt;/del&gt;( x-1 &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\right&lt;/del&gt;)}{x-1}=x+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;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tek</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=2759&amp;oldid=prev</id>
		<title>Ian um 12:30, 26. Okt. 2008</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=2759&amp;oldid=prev"/>
				<updated>2008-10-26T12:30:04Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&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&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 12:30, 26. Okt. 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{{NAVCONTENT_START}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;The numerator can be factorized using the conjugate rule to give  &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;center&lt;/del&gt;&amp;gt; &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;[[Image:3_4_1a.gif]] &lt;/del&gt;&amp;lt;/&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;center&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;x^{2}-1=\left( x+1 \right)\left( x-1 \right)&lt;/ins&gt;&amp;lt;/&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;NAVCONTENT_STOP&lt;/del&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;and then we see that the numerator and denominator have a common factor which we can eliminate&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\frac&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;x^&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt;}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;-1&lt;/ins&gt;}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{x-1}=\frac{\left( x+1 \right)\left( x-1 \right)}{x-1}=x+1&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ian</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=1899&amp;oldid=prev</id>
		<title>Tekbot: Lösning 3.4:1a moved to Solution 3.4:1a: Robot: moved page</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=1899&amp;oldid=prev"/>
				<updated>2008-09-16T15:10:41Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;a href=&quot;/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sning_3.4:1a&amp;amp;action=edit&quot; class=&quot;new&quot; title=&quot;Lösning 3.4:1a&quot;&gt;Lösning 3.4:1a&lt;/a&gt; moved to &lt;a href=&quot;/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=Solution_3.4:1a&amp;amp;action=edit&quot; class=&quot;new&quot; title=&quot;Solution 3.4:1a&quot;&gt;Solution 3.4:1a&lt;/a&gt;: Robot: moved page&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&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&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 15:10, 16. Sep. 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;/table&gt;</summary>
		<author><name>Tekbot</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=1179&amp;oldid=prev</id>
		<title>Tekbot: Robot: Automated text replacement  (-[[Bild: +[[Image:)</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=1179&amp;oldid=prev"/>
				<updated>2008-08-21T08:15:04Z</updated>
		
		<summary type="html">&lt;p&gt;Robot: Automated text replacement  (-[[Bild: +[[Image:)&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&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&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 08:15, 21. Aug. 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt; [[&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Bild&lt;/del&gt;:3_4_1a.gif]] &amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt; [[&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Image&lt;/ins&gt;:3_4_1a.gif]] &amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_STOP}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_STOP}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tekbot</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=691&amp;oldid=prev</id>
		<title>Oskar: Ny sida: {{NAVCONTENT_START}} &lt;center&gt; Bild:3_4_1a.gif &lt;/center&gt; {{NAVCONTENT_STOP}}</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse2-TU-Berlin/index.php?title=L%C3%B6sung_3.4:1a&amp;diff=691&amp;oldid=prev"/>
				<updated>2008-04-07T15:04:04Z</updated>
		
		<summary type="html">&lt;p&gt;Ny sida: {{NAVCONTENT_START}} &amp;lt;center&amp;gt; &lt;a href=&quot;/wikis/2009/bridgecourse2-TU-Berlin/index.php/Bild:3_4_1a.gif&quot; title=&quot;Bild:3 4 1a.gif&quot;&gt;Bild:3_4_1a.gif&lt;/a&gt; &amp;lt;/center&amp;gt; {{NAVCONTENT_STOP}}&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;br /&gt;
&amp;lt;center&amp;gt; [[Bild:3_4_1a.gif]] &amp;lt;/center&amp;gt;&lt;br /&gt;
{{NAVCONTENT_STOP}}&lt;/div&gt;</summary>
		<author><name>Oskar</name></author>	</entry>

	</feed>