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 <question type="category"><category><text>1MA 03. NOMBRES COMPLEXOS/1MA.03.4 Operar F. Binòmica</text></category></question>
 
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      <text>1MA.03.4.60DT Binomi de Newton</text>
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      <text><![CDATA[<p> </p>
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<td style="border-color: #003300; background-color: #003300; width: 100%; border-style: solid; border-width: 1px;" valign="top"><span style="font-size: large; color: #ffff99;">Binomi de Newton (a + bi)<sup>n</sup> </span></td>
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<td style="background-color: #e8ffe8; background-image: none; text-align: left; vertical-align: top; border-style: none;" valign="top" width="100%">Triangle de Pascal:<br />
<div style="text-align: center;"><img style="width: 207px; height: 127px; vertical-align: bottom; margin: 0px;" title="Triangle_Pascal" alt="Triangle_Pascal" src="@@PLUGINFILE@@/triangle_Pascal.jpg" width="244" height="150" /></div>
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<td valign="top" width="100%"><span style="font-size: small; color: #003300;">Desenvolupament del Binomi:</span><br />
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<li><span style="font-size: small; color: #003300;">els coeficients són els del triangle de Pascal</span></li>
<li><span style="font-size: small;"><span style="color: #003300;">a va</span> <span style="color: #ff6600; text-decoration: underline;" data-mce-mark="1">disminuint</span> <span style="color: #003300;">de grau des de n fins a 0</span></span></li>
<li><span style="font-size: small;"><span style="color: #003300;">bi va</span> <span style="color: #ff6600; text-decoration: underline;" data-mce-mark="1">augmentant</span> <span style="color: #003300;">de grau des de 0 fins a n</span></span></li>
<li><span style="font-size: small; color: #003300;">i = i; i<sup>2</sup> = -1; i<sup>3</sup> = -i; i<sup>4</sup> = 1</span></li>
</ul>
<p><strong><em><span style="color: #333333;"><span style="font-size: small;">Per exemple: </span></span></em></strong><span style="color: #333333; font-size: small;"><em>(a + bi)<sup>4</sup> </em></span></p>
<p><span style="color: #333333; font-size: small;"><em>= 1·a<sup>4</sup> + 4·a<sup>3</sup>·(bi) + 6·a<sup>2</sup>·(bi)<sup>2</sup> + 4·a·(bi)<sup>3</sup> + 1·(bi)</em><sup>4</sup></span></p>
<span style="color: #333333;"><em><span style="font-size: small;">= a<sup>4 </sup>+ 4a<sup>3</sup>bi - 6a<sup>2</sup>b<sup>2</sup> - 4ab<sup>3</sup>i + b<sup>4</sup></span></em></span></td>
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 </quiz>
