http://wiki.math.se/wikis/forberedandematte1/index.php?action=history&feed=atom&title=F%C3%B6rklaring_2.1%3A7 2026-04-05T21:49:33Z Versionshistorik för denna sida på wikin MediaWiki 1.11.1 http://wiki.math.se/wikis/forberedandematte1/index.php?title=F%C3%B6rklaring_2.1:7&diff=1825&oldid=prev 2010-04-20T14:04:04Z

<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;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 20 april 2010 kl. 14.04</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 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;">Termer </del>i täljaren kan <del style="color: red; font-weight: bold; text-decoration: none;">delas upp enligt regeln</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;">När bråkuttryck förkortas så är det bara likadana faktorer </ins>i täljaren <ins style="color: red; font-weight: bold; text-decoration: none;">och nämnaren som </ins>kan <ins style="color: red; font-weight: bold; text-decoration: none;">förkortas bort mot varandra och inte termer.</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: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">{{Fristående formel||&lt;math&gt;\frac{\strut x+y}{\strut z}=\frac{\strut x}{\strut z}+\frac{\strut y}{\strut z},&lt;/math&gt;}}</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;">Hade uttrycket istället varit</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: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">men detta gäller '''inte''' för termer i nämnaren, dvs.</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;">{{Fristående formel||&lt;math&gt;\frac{x+1}{x^2(x+1)+(x+1)y^2}&lt;/math&gt;}}</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: #ffa; color:black; font-size: smaller;"><div>{{Fristående formel||&lt;math&gt;\frac{1}{<del style="color: red; font-weight: bold; text-decoration: none;">\strut </del>x+y} <del style="color: red; font-weight: bold; text-decoration: none;">\not</del>= \frac{1}{<del style="color: red; font-weight: bold; text-decoration: none;">\strut </del>x<del style="color: red; font-weight: bold; text-decoration: none;">} </del>+ \frac{1}{<del style="color: red; font-weight: bold; text-decoration: none;">\strut </del>y}\textrm{.}&lt;/math&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;">så skulle &lt;math&gt;x+1&lt;/math&gt; kunna förkortas bort,</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>{{Fristående formel||&lt;math&gt;\frac{<ins style="color: red; font-weight: bold; text-decoration: none;">x+</ins>1}{<ins style="color: red; font-weight: bold; text-decoration: none;">x^2(</ins>x+<ins style="color: red; font-weight: bold; text-decoration: none;">1)+(x+1)</ins>y<ins style="color: red; font-weight: bold; text-decoration: none;">^2</ins>} = \frac{<ins style="color: red; font-weight: bold; text-decoration: none;">x+</ins>1}{<ins style="color: red; font-weight: bold; text-decoration: none;">(</ins>x+<ins style="color: red; font-weight: bold; text-decoration: none;">1)(x^2+y^2)} = </ins>\frac{1}{<ins style="color: red; font-weight: bold; text-decoration: none;">x^2+</ins>y<ins style="color: red; font-weight: bold; text-decoration: none;">^2</ins>}\textrm{.}&lt;/math&gt;}}</div></td></tr> </table>

Tek http://wiki.math.se/wikis/forberedandematte1/index.php?title=F%C3%B6rklaring_2.1:7&diff=1820&oldid=prev 2010-04-20T12:26:23Z

<p>Ny sida: Termer i täljaren kan delas upp enligt regeln {{Fristående formel||&lt;math&gt;\frac{\strut x+y}{\strut z}=\frac{\strut x}{\strut z}+\frac{\strut y}{\strut z},&lt;/math&gt;}} men detta gäller '''i...</p> <p><b>Ny sida</b></p><div>Termer i täljaren kan delas upp enligt regeln<br /> <br /> {{Fristående formel||&lt;math&gt;\frac{\strut x+y}{\strut z}=\frac{\strut x}{\strut z}+\frac{\strut y}{\strut z},&lt;/math&gt;}}<br /> <br /> men detta gäller '''inte''' för termer i nämnaren, dvs.<br /> <br /> {{Fristående formel||&lt;math&gt;\frac{1}{\strut x+y} \not= \frac{1}{\strut x} + \frac{1}{\strut y}\textrm{.}&lt;/math&gt;}}</div>

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