https://wiki.mattekollen.se/index.php?action=history&feed=atom&title=1.4_L%C3%B6sning_9c 2026-11-05T14:19:44Z Versionshistorik för denna sida på wikin MediaWiki 1.23.1 https://wiki.mattekollen.se/index.php?title=1.4_L%C3%B6sning_9c&diff=12044&oldid=prev 2014-08-03T22:31:16Z

<p></p> <p><b>Ny sida</b></p><div>&lt;big&gt;&lt;math&gt; \left(1 - {x^2 \over y^2}\right)\, \Big / \,\left(1 - {x \over y}\right) \, = \, \left({y^2 \over y^2} - {x^2 \over y^2}\right)\, \Big / \,\left({y \over y} - {x \over y}\right) \, = &lt;/math&gt;<br /> <br /> <br /> &lt;math&gt; = \, \left({y^2 - x^2 \over y^2}\right)\, \Big / \,\left({y - x \over y}\right) \, = \, \left({y^2 - x^2 \over y^2}\right)\, \cdot \,\left({y \over y - x}\right) \, = &lt;/math&gt;&lt;/big&gt;<br /> <br /> <br /> &lt;big&gt;&lt;big&gt;&lt;math&gt; = {(y+x)\,(y-x) \over y^2} \cdot {y \over y - x} = {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} = {y+x \over y} = {y \over y} + {x \over y} &lt;/math&gt;&lt;/big&gt;&lt;/big&gt; &lt;math&gt; = 1 + &lt;/math&gt; &lt;big&gt;&lt;big&gt;&lt;math&gt; {x \over y} &lt;/math&gt;&lt;/big&gt;&lt;/big&gt;</div>

Taifun