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<p> </p> <table style="color: #006600; border: 4px solid #003300; float: none; text-align: left; vertical-align: top; width: 400px; background-image: url('http://www.insmilaifontanals.cat/none'); background-color: #ffffcc;" border="4" frame="void" rules="none" align="center"> <tbody> <tr style="background-color: #006600;" align="center"> <td style="width: 100%; background-color: #003300;" valign="top"><span style="font-size: large; color: #ffff99;" data-mce-mark="1"><span data-mce-mark="1">Operacions en forma binòmica</span> </span></td> </tr> <tr align="center"> <td valign="top" width="100%"> <p><span style="font-weight: bold;" data-mce-mark="1"><span style="color: #ff6600;" data-mce-mark="1"><span style="font-size: medium;">ADDICIÓ:</span> </span><br /><span style="color: #003300; font-size: small;" data-mce-mark="1">(a+bi) + (c+di) = (a+c) + (b+d)i</span></span></p> <p style="text-align: justify;"><em><span style="color: #003300; font-size: small;" data-mce-mark="1">La part real de la suma és la suma de les parts reals; la part imaginària de la suma és la suma de les parts imaginàries.</span></em></p> </td> </tr> <tr align="center"> <td style="text-align: center;" valign="top" width="100%"> <p><span style="font-weight: bold;" data-mce-mark="1"><span style="color: #ff6600;" data-mce-mark="1"><span style="font-size: medium;">SUBTRACCIÓ:</span> </span><br /><span style="font-size: small; color: #003300;" data-mce-mark="1">(a+bi) - (c+di) = (a-c) + (b-d)i</span></span></p> <p style="text-align: justify;"><em><span style="font-size: small; color: #003300;" data-mce-mark="1">La part real de la diferència és la diferència de les parts reals; la part imaginària de la diferència és la diferència de les parts imaginàries.</span></em></p> </td> </tr> <tr align="center"> <td valign="top" width="100%"> <p><span style="font-weight: bold;" data-mce-mark="1"><span style="color: #ff6600; font-size: medium;" data-mce-mark="1">MULTIPLICACIÓ:</span><br /> <span style="color: #003300; font-size: small;" data-mce-mark="1">(a+bi) * (c+di) =<span style="color: #0000ff;"> ac</span>+<span style="color: #ff0000;">ad</span>i+<span style="color: #ff0000;">bc</span>i+<span style="color: #0000ff;">bdi<sup>2</sup> </span></span></span></p> <p><span style="font-weight: bold;" data-mce-mark="1"><span style="color: #003300; font-size: small;" data-mce-mark="1"> = (<span style="color: #0000ff;">ac-bd</span>) + (<span style="color: #ff0000;">ad+bc</span>)i</span></span></p> <p style="text-align: justify;"><em><span style="color: #003300; font-size: small;" data-mce-mark="1">Multiplico distributivament.Com que i<sup>2</sup> = -1, bdi<sup>2</sup> es transforma en -bd.</span></em></p> </td> </tr> <tr align="center"> <td valign="top" width="100%"> <p style="text-align: justify;"><span style="font-weight: bold;"><span style="color: #ff6600; font-size: medium;">DIVISIÓ:</span><br />«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfrac mathcolor=¨#003300¨»«mrow»«mi mathvariant=¨bold¨»a«/mi»«mo mathvariant=¨bold¨»+«/mo»«mi mathvariant=¨bold¨»bi«/mi»«/mrow»«mrow»«mi mathvariant=¨bold¨»c«/mi»«mo mathvariant=¨bold¨»+«/mo»«mi mathvariant=¨bold¨»di«/mi»«/mrow»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mfrac mathcolor=¨#003300¨»«mrow»«mfenced»«mrow»«mi mathvariant=¨bold¨»a«/mi»«mo mathvariant=¨bold¨»+«/mo»«mi mathvariant=¨bold¨»bi«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi mathvariant=¨bold¨»c«/mi»«mo mathvariant=¨bold¨»-«/mo»«mi mathvariant=¨bold¨»di«/mi»«/mrow»«/mfenced»«/mrow»«mrow»«mfenced»«mrow»«mi mathvariant=¨bold¨»c«/mi»«mo mathvariant=¨bold¨»+«/mo»«mi mathvariant=¨bold¨»di«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi mathvariant=¨bold¨»c«/mi»«mo mathvariant=¨bold¨»-«/mo»«mi mathvariant=¨bold¨»di«/mi»«/mrow»«/mfenced»«/mrow»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mfrac mathcolor=¨#003300¨»«mrow»«msup»«mi mathvariant=¨bold¨»a«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨»+«/mo»«mi mathvariant=¨bold¨»bd«/mi»«mo mathvariant=¨bold¨»+«/mo»«mo mathvariant=¨bold¨»(«/mo»«mi mathvariant=¨bold¨»bc«/mi»«mo mathvariant=¨bold¨»-«/mo»«mi mathvariant=¨bold¨»ad«/mi»«mo mathvariant=¨bold¨»)«/mo»«mi mathvariant=¨bold¨»i«/mi»«/mrow»«mrow»«msup»«mi mathvariant=¨bold¨»c«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨»+«/mo»«msup»«mi mathvariant=¨bold¨»d«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«/mrow»«/mfrac»«/mstyle»«/math»</span></p> <p style="text-align: justify;"><em><span style="font-size: small; color: #003300;">Multiplico i divideixo pel conjugat.Com que i<sup>2</sup> = -1, -bdi<sup>2</sup> es transforma en bd.</span></em></p> </td> </tr> </tbody> </table>
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