http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?action=history&feed=atom&title=L%C3%B6sung_2.1%3A2e 2026-05-02T18:01:40Z Versionsgeschichte für diese Seite in Online Mathematik Brückenkurs 1 MediaWiki 1.11.1 http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_2.1:2e&diff=8984&oldid=prev 2009-06-09T08:08:48Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 08:08, 9. Jun. 2009</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>Wir erweitern die Klammern mit der binomischen Formel<del style="color: red; font-weight: bold; text-decoration: none;">, </del>und addieren die beiden Ausdrücke</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>Wir erweitern die Klammern mit der binomischen Formel und addieren die beiden Ausdrücke</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Abgesetzte Formel||&lt;math&gt;\begin{align}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Abgesetzte Formel||&lt;math&gt;\begin{align}</div></td></tr> </table>

Markus.bez http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_2.1:2e&diff=8335&oldid=prev 2009-02-28T14:10:24Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 14:10, 28. Feb. 2009</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">We expand the two quadratics using the squaring rule</del>, <del style="color: red; font-weight: bold; text-decoration: none;">and then sum the result</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">Wir erweitern die Klammern mit der binomischen Formel</ins>, <ins style="color: red; font-weight: bold; text-decoration: none;">und addieren die beiden Ausdrücke</ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Abgesetzte Formel||&lt;math&gt;\begin{align}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Abgesetzte Formel||&lt;math&gt;\begin{align}</div></td></tr> </table>

Martin http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_2.1:2e&diff=7227&oldid=prev 2008-10-22T13:44:45Z

<p>hat „<a href="/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=Solution_2.1:2e&amp;action=edit" class="new" title="Solution 2.1:2e">Solution 2.1:2e</a>“ nach „<a href="/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_2.1:2e" title="Lösung 2.1:2e">Lösung 2.1:2e</a>“ verschoben: Robot: moved page</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 13:44, 22. Okt. 2008</td> </tr> </table>

Tekbot http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_2.1:2e&diff=6552&oldid=prev 2008-10-22T08:22:18Z

<p>Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel)</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 08:22, 22. Okt. 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>We expand the two quadratics using the squaring rule, and then sum the result</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>We expand the two quadratics using the squaring rule, and then sum the result</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>{{<del style="color: red; font-weight: bold; text-decoration: none;">Displayed math</del>||&lt;math&gt;\begin{align}</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>{{<ins style="color: red; font-weight: bold; text-decoration: none;">Abgesetzte Formel</ins>||&lt;math&gt;\begin{align}</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>(a+b)^2+(a-b)^2 &amp;= (a^2+2ab+b^2)+(a^2-2ab+b^2)\\</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>(a+b)^2+(a-b)^2 &amp;= (a^2+2ab+b^2)+(a^2-2ab+b^2)\\</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&amp;= a^2+2ab+b^2+a^2-2ab+b^2 \\</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&amp;= a^2+2ab+b^2+a^2-2ab+b^2 \\</div></td></tr> </table>

Tekbot http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_2.1:2e&diff=5402&oldid=prev 2008-09-23T08:24:21Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 08:24, 23. Sep. 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">{{NAVCONTENT_START}}</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>We expand the two quadratics using the squaring rule, and then sum the result</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>We expand the two quadratics using the squaring rule, and then sum the result<del style="color: red; font-weight: bold; text-decoration: none;">.</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;math&gt; <del style="color: red; font-weight: bold; text-decoration: none;">\qquad </del>\begin{align}(a+b)^2+(a-b)^2 &amp;= (a^2+2ab+b^2)+(a^2-2ab+b^2)\\</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">{{Displayed math||</ins>&lt;math&gt;\begin{align}</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>(a+b)^2+(a-b)^2 &amp;= (a^2+2ab+b^2)+(a^2-2ab+b^2)\\</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&amp;= a^2+2ab+b^2+a^2-2ab+b^2 \\</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&amp;= a^2+2ab+b^2+a^2-2ab+b^2 \\</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&amp;= a^2+a^2+2ab-2ab+b^2+b^2\\</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&amp;= a^2+a^2+2ab-2ab+b^2+b^2\\</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&amp;= 2a^2 +2b^2</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&amp;= 2a^2 +2b^2<ins style="color: red; font-weight: bold; text-decoration: none;">\,\textrm{.}</ins></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>\end{align}</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>\end{align}&lt;/math&gt;}}</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">&lt;!--&lt;center&gt; [[Image:2_1_2e.gif]] &lt;/center&gt;--&gt;</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">{{NAVCONTENT_STOP</del>}}</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> </table>

Tek http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_2.1:2e&diff=3138&oldid=prev 2008-09-09T08:34:23Z

<p><a href="/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sning_2.1:2e&amp;action=edit" class="new" title="Lösning 2.1:2e">Lösning 2.1:2e</a> moved to <a href="/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=Solution_2.1:2e&amp;action=edit" class="new" title="Solution 2.1:2e">Solution 2.1:2e</a>: Robot: moved page</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 08:34, 9. Sep. 2008</td> </tr> </table>

Tekbot http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_2.1:2e&diff=2212&oldid=prev 2008-08-21T06:34:19Z

<p>Robot: Automated text replacement (-[[Bild: +[[Image:)</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 06:34, 21. Aug. 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 8:</td> <td colspan="2" class="diff-lineno">Zeile 8:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\end{align}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\end{align}</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&lt;/math&gt;</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;!--&lt;center&gt; [[<del style="color: red; font-weight: bold; text-decoration: none;">Bild</del>:2_1_2e.gif]] &lt;/center&gt;--&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&lt;!--&lt;center&gt; [[<ins style="color: red; font-weight: bold; text-decoration: none;">Image</ins>:2_1_2e.gif]] &lt;/center&gt;--&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{NAVCONTENT_STOP}}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{NAVCONTENT_STOP}}</div></td></tr> </table>

Tekbot http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_2.1:2e&diff=1776&oldid=prev 2008-08-13T13:04:42Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 13:04, 13. Aug. 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{NAVCONTENT_START}}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{NAVCONTENT_START}}</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;center&gt; [[Bild:2_1_2e.gif]] &lt;/center&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">We expand the two quadratics using the squaring rule, and then sum the result.</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt; \qquad \begin{align}(a+b)^2+(a-b)^2 &amp;= (a^2+2ab+b^2)+(a^2-2ab+b^2)\\</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&amp;= a^2+2ab+b^2+a^2-2ab+b^2 \\</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&amp;= a^2+a^2+2ab-2ab+b^2+b^2\\</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&amp;= 2a^2 +2b^2</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">\end{align}</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;/math&gt;</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;!--</ins>&lt;center&gt; [[Bild:2_1_2e.gif]] &lt;/center<ins style="color: red; font-weight: bold; text-decoration: none;">&gt;--</ins>&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{NAVCONTENT_STOP}}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{NAVCONTENT_STOP}}</div></td></tr> </table>

Martin http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_2.1:2e&diff=518&oldid=prev 2008-03-31T09:50:19Z

<p>Ny sida: {{NAVCONTENT_START}} &lt;center&gt; <a href="/wikis/2009/bridgecourse1-TU-Berlin/index.php/Bild:2_1_2e.gif" title="Bild:2 1 2e.gif">Bild:2_1_2e.gif</a> &lt;/center&gt; {{NAVCONTENT_STOP}}</p> <p><b>Neue Seite</b></p><div>{{NAVCONTENT_START}}<br /> &lt;center&gt; [[Bild:2_1_2e.gif]] &lt;/center&gt;<br /> {{NAVCONTENT_STOP}}</div>

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