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		<title>Lösning 1.8.1b - Versionshistorik</title>
		<link>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?title=L%C3%B6sning_1.8.1b&amp;action=history</link>
		<description>Versionshistorik för denna sida på wikin</description>
		<language>sv</language>
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		<item>
			<title>Samuel den 20 juni 2012 kl. 12.58</title>
			<link>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?title=L%C3%B6sning_1.8.1b&amp;diff=754&amp;oldid=prev</link>
			<description>&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;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Versionen från 20 juni 2012 kl. 12.58&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;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;displaystyle  &lt;/del&gt;(3-2i)(4+i-(6-2i)) = (3-2i)(-2+3i)=&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;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;&amp;lt;math&amp;gt;\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;begin{align} &lt;/ins&gt;(3-2i)(4+i-(6-2i)) &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;= (3-2i)(-2+3i)=\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\&amp;amp;&lt;/ins&gt;=(3\cdot (-2) + 3 \cdot 3i -2i\cdot(-2) -2i\cdot 3i &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;=\\&amp;amp;&lt;/ins&gt;= -6 +9i + 4i+6=\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\&amp;amp;&lt;/ins&gt;=13i&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\end{align}&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;#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;/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;&amp;lt;math&amp;gt;&lt;/del&gt;\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;displaystyle &lt;/del&gt;=(3\cdot (-2) + 3 \cdot 3i -2i\cdot(-2) -2i\cdot 3i = -6 +9i + 4i +6=&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;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;&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;#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;/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;&amp;lt;math&amp;gt;&lt;/del&gt;\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;displaystyle &lt;/del&gt;=13i&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;</description>
			<pubDate>Wed, 20 Jun 2012 12:58:42 GMT</pubDate>			<dc:creator>Samuel</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php/Diskussion:L%C3%B6sning_1.8.1b</comments>		</item>
		<item>
			<title>Sass den 12 juni 2012 kl. 14.06</title>
			<link>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?title=L%C3%B6sning_1.8.1b&amp;diff=512&amp;oldid=prev</link>
			<description>&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;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Versionen från 12 juni 2012 kl. 14.06&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;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\displaystyle (&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;1+&lt;/del&gt;2i)&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\left&lt;/del&gt;( &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;2-\frac{i}{&lt;/del&gt;4&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;1\cdot 2 &lt;/del&gt;- &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;1 \cdot \frac{i}{4}+&lt;/del&gt;2i&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\cdot 2&lt;/del&gt;- &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;2i\cdot \frac{i}{4}&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;&amp;lt;math&amp;gt;\displaystyle &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;(&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;3-&lt;/ins&gt;2i)(4&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;+i-(6-2i)&lt;/ins&gt;) = &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;(3&lt;/ins&gt;-2i&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;)(&lt;/ins&gt;-&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;2+3i)&lt;/ins&gt;=&amp;lt;/math&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;/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;lt;math&amp;gt;\displaystyle = 2-\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;frac{i}{4}&lt;/del&gt;+4i+&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\frac{1}{2} &lt;/del&gt;= &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\frac{5}{2} + \frac{15 i} {4}&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;&amp;lt;math&amp;gt;\displaystyle =&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;(3\cdot (-&lt;/ins&gt;2&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;) + 3 \cdot 3i &lt;/ins&gt;-&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;2i&lt;/ins&gt;\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;cdot(-2) -2i\cdot 3i = -6 +9i &lt;/ins&gt;+ 4i +&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt;=&amp;lt;/math&amp;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;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\displaystyle =13i&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Tue, 12 Jun 2012 14:06:29 GMT</pubDate>			<dc:creator>Sass</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php/Diskussion:L%C3%B6sning_1.8.1b</comments>		</item>
		<item>
			<title>Sass den 12 juni 2012 kl. 13.58</title>
			<link>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?title=L%C3%B6sning_1.8.1b&amp;diff=502&amp;oldid=prev</link>
			<description>&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;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Versionen från 12 juni 2012 kl. 13.58&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;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\displaystyle (1+2i)\left( 2-\frac{i}{4} \right) = 1\cdot 2 - 1 \cdot \frac{i}{4}+2i\cdot 2- 2i\cdot \frac{i}{4}&amp;lt;/math&amp;gt; = 2-\frac{i}{4}+4i&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;\frac{&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/del&gt;}{2}&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;math&amp;gt;\displaystyle (1+2i)\left( 2-\frac{i}{4} \right) = 1\cdot 2 - 1 \cdot \frac{i}{4}+2i\cdot 2- 2i\cdot \frac{i}{4}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;=&lt;/ins&gt;&amp;lt;/math&amp;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;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\displaystyle &lt;/ins&gt;= 2-\frac{i}{4}+4i&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;\frac{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;1&lt;/ins&gt;}{2} &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;= \frac{5}{2} + \frac{15 i} {4}&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Tue, 12 Jun 2012 13:58:46 GMT</pubDate>			<dc:creator>Sass</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php/Diskussion:L%C3%B6sning_1.8.1b</comments>		</item>
		<item>
			<title>Sass den 12 juni 2012 kl. 13.53</title>
			<link>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?title=L%C3%B6sning_1.8.1b&amp;diff=495&amp;oldid=prev</link>
			<description>&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;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Versionen från 12 juni 2012 kl. 13.53&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;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\displaystyle (1+2i)(2-\frac{i}{4}) = 1\cdot 2 &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;+ &lt;/del&gt;1 \cdot \frac{i&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;]&lt;/del&gt;{4}+2i\cdot 2&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;+ &lt;/del&gt;2i\cdot \frac{i}{4}&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;&amp;lt;math&amp;gt;\displaystyle (1+2i)&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\left&lt;/ins&gt;( 2-\frac{i}{4} &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\right&lt;/ins&gt;) = 1\cdot 2 &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/ins&gt;1 \cdot \frac{i&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/ins&gt;{4}+2i\cdot 2&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/ins&gt;2i\cdot \frac{i}{4}&amp;lt;/math&amp;gt; &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;= 2-\frac{i}{4}+4i-\frac{i}{2}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Tue, 12 Jun 2012 13:53:50 GMT</pubDate>			<dc:creator>Sass</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php/Diskussion:L%C3%B6sning_1.8.1b</comments>		</item>
		<item>
			<title>Sass: Ny sida: &lt;math&gt;\displaystyle (1+2i)(2-\frac{i}{4}) = 1\cdot 2 + 1 \cdot \frac{i]{4}+2i\cdot 2+ 2i\cdot \frac{i}{4}&lt;/math&gt;</title>
			<link>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php?title=L%C3%B6sning_1.8.1b&amp;diff=494&amp;oldid=prev</link>
			<description>&lt;p&gt;Ny sida: &amp;lt;math&amp;gt;\displaystyle (1+2i)(2-\frac{i}{4}) = 1\cdot 2 + 1 \cdot \frac{i]{4}+2i\cdot 2+ 2i\cdot \frac{i}{4}&amp;lt;/math&amp;gt;&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;\displaystyle (1+2i)(2-\frac{i}{4}) = 1\cdot 2 + 1 \cdot \frac{i]{4}+2i\cdot 2+ 2i\cdot \frac{i}{4}&amp;lt;/math&amp;gt;&lt;/div&gt;</description>
			<pubDate>Tue, 12 Jun 2012 13:52:27 GMT</pubDate>			<dc:creator>Sass</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/forberedandematte/index.php/Diskussion:L%C3%B6sning_1.8.1b</comments>		</item>
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