tag:blogger.com,1999:blog-487473763106371082024-03-07T22:53:29.891-08:00AlgebraAlgebrahttp://www.blogger.com/profile/11581718305670430206noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-48747376310637108.post-81995571117621829602016-11-22T19:44:00.003-08:002016-11-22T19:44:24.049-08:00<!--[if gte mso 9]><xml>
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<span style="color: red;">"Binomios Conjugados."</span><br />
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<br style="mso-special-character: line-break;" />
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<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.8pt; mso-add-space: auto;">
Son de la forma (a+b)(a-b)<span style="color: red;"> </span>es la
diferencia de los cuadrados como se ilustra en la fórmula:</div>
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<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 106.8pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";">
</span></span></span>Se multiplica el primer término de la primera ecuación
por el primer término de la segunda ecuación:<br />
<br />
(a+b)(a-b)= a<sup>2<br />
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<br style="mso-special-character: line-break;" />
</sup></div>
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<span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";">
</span></span></span>Se multiplica el segundo término de la primera ecuación
por el segundo término de la segunda ecuación:<br />
<br />
<br />
(a+b)(a-b)= a<sup>2</sup>-b<sup>2</sup></div>
Algebrahttp://www.blogger.com/profile/11581718305670430206noreply@blogger.com0tag:blogger.com,1999:blog-48747376310637108.post-68395899115579778342016-11-22T19:29:00.000-08:002016-11-22T19:29:14.930-08:00<!--[if gte mso 9]><xml>
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<span style="color: red;">"Multiplicación de polinomio por monomio."</span></div>
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1. Se multiplica el primer término de la primera ecuación por
el primer término de la segunda ecuación y se suman los exponentes de la primera
ecuación más los exponentes de la segunda ecuación </div>
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<span style="mso-spacerun: yes;"> </span>(5x5y4-3x4y3z+4xz4)(-3x4y)=-15x9y5</div>
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2. Se multiplica el segundo término de la primera ecuación por
el primer término de la segunda ecuación y se suman los exponentes del segundo término
de la primera ecuación más los exponentes del primer término de la segunda ecuación.</div>
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<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>(5x5y4-3x4y3z+4xz4)(-3x4y)=-15x9y5+9x8y4z</div>
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de la primera ecuación más los exponentes del primer término de la segunda ecuación.</div>
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<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>(5x5y4-3x4y3z+4xz4)(-3x4y)=-15x9y5+9x8y4z+12x5yz4</div>
Algebrahttp://www.blogger.com/profile/11581718305670430206noreply@blogger.com0tag:blogger.com,1999:blog-48747376310637108.post-70889088862519460312016-11-22T19:02:00.003-08:002016-11-22T19:03:11.531-08:00<!--[if gte mso 9]><xml>
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<span style="color: red;">"Multiplicación de monomio por monomio."</span></div>
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</span><br />
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<br /></div>
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Para realizar esta operación es necesario recordar las reglas
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<span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";">
</span></span></span>1. Se multiplica el primer término de la primera ecuación
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(-5x<sup>4</sup>y<sup>5</sup>z)(3x<sup>2</sup>y<sup>6</sup>z)=-15</div>
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(-5x<sup>4</sup>y<sup>5</sup>z)(3x<sup>2</sup>y<sup>6</sup>z)=-15x<sup>6</sup>y<sup>11</sup>z<sup>4</sup></div>
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<br /></div>
Algebrahttp://www.blogger.com/profile/11581718305670430206noreply@blogger.com0tag:blogger.com,1999:blog-48747376310637108.post-70350834470077112232016-11-22T18:25:00.000-08:002016-11-22T18:29:47.941-08:00<span style="background-color: white;"></span><!--[if gte mso 9]><xml>
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</xml><![endif]--><span style="font-family: "calibri" , "sans-serif"; font-size: 11.0pt; line-height: 115%;"> <span style="color: red;">"Cubo
de un Binomio"</span></span> <br />
<br />
Es de la forma (a+b)<sup> 3</sup> su desarrollo es un
polinomio de 4 términos al que se le llama cubo perfecto.</div>
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Desarrollo:</div>
<div class="MsoNormal">
1. El cubo del primer término.</div>
<div class="MsoNormal" style="text-indent: 35.4pt;">
<span style="mso-spacerun: yes;"> </span>(m+6)<sup> 3</sup> =m<sup>3</sup></div>
<div class="MsoNormal">
2. Mas el triple producto del cuadrado del primero por el
segundo.</div>
<div class="MsoNormal">
<span style="mso-tab-count: 1;"> </span> (m+6)<sup>
3</sup> =m<sup>3</sup>+3m<sup>2</sup></div>
<div class="MsoNormal">
3. Mas el triple producto del primer término por el cuadrado
del segundo.</div>
<div class="MsoNormal">
<span style="mso-tab-count: 1;"> </span>(m+6)<sup>
3</sup> =m<sup>3</sup>+3m<sup>2</sup>+108m</div>
<div class="MsoNormal">
4. Mas el cubo del segundo término.</div>
<div class="MsoNormal">
<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>(m+6)<sup> 3</sup> =m<sup>3</sup>+3m<sup>2</sup>+108m+216</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
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<![endif]-->Algebrahttp://www.blogger.com/profile/11581718305670430206noreply@blogger.com0tag:blogger.com,1999:blog-48747376310637108.post-32335052055447487672016-11-22T17:40:00.001-08:002016-11-22T17:48:19.213-08:00<span style="color: #999999;"><span style="color: blue;">"Cuadrado de un Trinomio"</span></span><br />
<span style="color: #999999;"><span style="color: blue;"><span style="background-color: white;"><span style="color: #f3f3f3;"><span style="color: white;"><span style="color: white;"><span style="color: #999999;"><span style="color: black;">Es el desarrollo de la expresion</span></span></span></span></span></span> </span></span><span style="color: red;">(a+b+c)= a</span><span style="color: red;"><i>²+b</i><i>²+</i></span><span style="color: red;"><i><i>c²+2ab+2ac+2bc.</i></i></span><br />
<span style="background-color: white;"><span style="color: #999999;"><span style="color: #999999;"><span style="color: red;"><span style="color: black;"><span style="color: blue;"><span style="color: black;">Es igual a la suma de los cuadrados de cada uno de los terminos</span>.</span> Recuerda la ley de los signos</span></span></span></span></span><br />
<br />
<ol>
<li><span style="color: blue;"><span style="color: red;"><span style="background-color: white;"><span style="color: black;">El cuadrado del primer termino:<br />(3x-2y+1)</span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²= 9x</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²</i></span></span></span> </i></span></span></span></span></li>
<span style="color: blue;">
</span>
<li><span style="color: blue;"><span style="color: red;"><span style="background-color: white;"><span style="color: black;">Mas el cuadrado del segundo termino:<br /> </span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;">(3x-2y+1)</span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²= 9x</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²</i></span></span></span>+4y</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²</i></span></span></span></span></li>
<span style="color: blue;">
</span>
<li><span style="color: blue;"><span style="color: red;"><span style="background-color: white;"><span style="color: black;">Mas el cuadrado del tercer termino:</span></span></span><br /><span style="color: red;"><span style="background-color: white;"><span style="color: black;"> </span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;">(3x-2y+1)</span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²= 9x</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²</i></span></span></span>+4y</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²+1</i></span></span></span></span></li>
<span style="color: blue;">
</span>
<li><span style="color: blue;"><span style="color: red;"><span style="background-color: white;"><span style="color: black;">Mas el doble del primer termino por el segundo:</span></span></span><br /><span style="color: red;"><span style="background-color: white;"><span style="color: black;"> </span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;">(3x-2y+1)</span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²= 9x</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²</i></span></span></span>+4y</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²+1-12xy</i></span></span></span></span></li>
<span style="color: blue;">
</span>
<li><span style="color: blue;"><span style="color: red;"><span style="background-color: white;"><span style="color: black;">Mas el doble del primer termino por el tercero:</span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><br /> </span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;">(3x-2y+1)</span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²= 9x</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²</i></span></span></span>+4y</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²+1-12xy+6x</i></span></span></span></span></li>
<span style="color: blue;">
</span>
<li><span style="color: blue;"><span style="color: red;"><span style="background-color: white;"><span style="color: black;">Mas el doble del primer termino por el tercero:</span></span></span><br /><span style="color: red;"><span style="background-color: white;"><span style="color: black;">(3x-2y+1)</span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²= 9x</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²</i></span></span></span>+4y</i></span></span></span><span style="color: red;"><span style="background-color: white;"><span style="color: black;"><i>²+1-12xy+6x-4y</i></span></span></span></span></li>
</ol>
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