https://minidemo.mathonline.se/index.php?action=history&feed=atom&title=1.7_L%C3%B6sning_9 2026-04-12T05:01:30Z Versionshistorik för denna sida på wikin MediaWiki 1.23.1 https://minidemo.mathonline.se/index.php?title=1.7_L%C3%B6sning_9&diff=26038&oldid=prev 2015-07-08T15:50:21Z

<p>Skapade sidan med &#039;:&lt;math&gt; \, (P + Q) \, = \, 2\,^x \, + \, 2\,^{-x} \; + \; 2\,^x \, - \, 2\,^{-x} \, = \, 2\,^x \, + \, 2\,^x \; + \; 2\,^{-x} \, - \, 2\,^{-x} \, = \, 2 \cdot 2\,^x &lt;/math&gt;...&#039;</p> <p><b>Ny sida</b></p><div>:&lt;math&gt; \, (P + Q) \, = \, 2\,^x \, + \, 2\,^{-x} \; + \; 2\,^x \, - \, 2\,^{-x} \, = \, 2\,^x \, + \, 2\,^x \; + \; 2\,^{-x} \, - \, 2\,^{-x} \, = \, 2 \cdot 2\,^x &lt;/math&gt;<br /> <br /> :&lt;math&gt; \, (P - Q) \, = \, 2\,^x \, + \, 2\,^{-x} \; - \; (2\,^x \, - \, 2\,^{-x}) \, = \, 2\,^x \, + \, 2\,^{-x} \; - \; 2\,^x \, + \, 2\,^{-x} \, = \, &lt;/math&gt;<br /> <br /> ::::&lt;math&gt; \, = \, 2\,^x \, - \, 2\,^x \; + \; 2\,^{-x} \, + \, 2\,^{-x} \, = \, 2 \cdot 2\,^{-x} &lt;/math&gt;<br /> <br /> :&lt;math&gt; \, (P + Q) \cdot (P - Q) \, = \, 2 \cdot 2\,^x \, \cdot \, 2 \cdot 2\,^{-x} \, = \, 2 \cdot 2 \, \cdot \, 2\,^x \cdot 2\,^{-x} \, = \, 4 \, \cdot \, 2\,^{x\,-\,x} \, = \, &lt;/math&gt;<br /> <br /> :::::::&lt;math&gt; \; = \, 4 \, \cdot \, 2\,^0 \, = \, 4 &lt;/math&gt;</div>

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