23

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=24 BGCOLOR="#003333" TEXT="#F7F7FF"> <div> <FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>M</B></FONT><FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>atemáticas de la U</B></FONT><B> (MatU)  | </B><A HREF="http://www.jcbmat.com/" TARGET="_top" TITLE="http://www.jcbmat.com/"><U><B>Home</B></U></A><B> | </B><A HREF="index.htm" TARGET="_top" TITLE="Álgebra de Baldor"><U><B>Algebra de Baldor</B></U></A><B> |  </B><A HREF="id1076.htm" TARGET="_top" TITLE="Índice temático"><U><B>Índice temático</B></U></A><B>  |  </B><A HREF="id1073.htm" TARGET="_top" TITLE="Lista"><U><B>Lista de Ejercicios</B></U></A><B> |</B></div> </td> </tr><tr> <td valign="top" rowspan="2" width=165 BGCOLOR="#FFFFFF" TEXT="#080000"> <bR> <div> <B> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </B></div> </td> <td valign="top" height=432 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>23</B></div> <div> <B>R e s t a </B></div> <div> <B>Resta de polinomios</B></div> <bR> <div>  <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:970px;height:250px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="8553279920"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div>        <B>L</B>a resta de polinomios es un proceso matemático fascinante que implica sumar el opuesto del sustraendo al minuendo para reducir la expresión. Esta operación también se conoce como sustracción de polinomios. Una forma eficaz de hacerlo es escribiendo el opuesto de uno debajo del otro para que los términos semejantes queden en columnas y puedan sumarse fácilmente. Otra opción es cambiar el signo a todos los términos del polinomio sustraendo y luego sumarlos. Esto se debe a que restar un polinomio es lo mismo que sumar su opuesto.</div> <div> Hay dos métodos populares para calcular la resta de polinomios: el vertical y el horizontal. Ambos implican restar los términos con la misma parte literal (variables y exponentes iguales) para reducir la expresión.</div> <bR> <div> <B>P r o c e d i m i e n t o :</B></div> <div> <B>1.  </B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >Se identifican tanto el minuendo como el sustraendo</FONT></div> <div> <B>2.</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >  Se escribe el minuendo con su propio signo y a continuación el sustraendo con signo cambiado. O también, el minuendo en una fila y en la fila inferior el sustraendo, cada término con el signo cambiado; y, cada término en la misma columna que su semejante.</FONT></div> <div> <B>3.</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >  Se reduce la expresión resultante</FONT></div> <div> <I><B>Nota1:</B></I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><I> el minuendo es la cantidad de la que se resta otra cantidad. El sustraendo es la cantidad que se resta de otra.</I></FONT></div> <div> <I><B>Nota2: </B></I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><I>dos términos son semejantes cuando tienen las mismas letras y afectadas por el mismo exponente.</I></FONT></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Enunciados y enlaces a las soluciones de los problemas del Ejercicio 23</B></div> <bR> <div> <B>S</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >olución en imagen <IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> y o video <IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> de los veinte problemas del Ejercicio 23:</FONT></div> <bR> <div> <I><IMG SRC="773e9c150.gif" border=0 width="156" height="21" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#1" TITLE="23"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/o_g2fr6Sxw8" TARGET="_top" TITLE="https://youtu.be/o_g2fr6Sxw8"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>      <IMG SRC="773fa3150.gif" border=0 width="163" height="21" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></I><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#2" TITLE="23"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/o_g2fr6Sxw8" TARGET="_top" TITLE="https://youtu.be/o_g2fr6Sxw8"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       <IMG SRC="7740df170.gif" border=0 width="223" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></I><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#3" TITLE="23"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/o_g2fr6Sxw8" TARGET="_top" TITLE="https://youtu.be/o_g2fr6Sxw8"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       </I></div> <div> <I><IMG SRC="7741eb1b0.gif" border=0 width="235" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></I><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#4" TITLE="23"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/CqTq9LjtgF8" TARGET="_top" TITLE="https://youtu.be/CqTq9LjtgF8"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       <IMG SRC="7742e5170.gif" border=0 width="229" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></I><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#5" TITLE="23"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/CqTq9LjtgF8" TARGET="_top" TITLE="https://youtu.be/CqTq9LjtgF8"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       <IMG SRC="7743131b0.gif" border=0 width="275" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/wVJcfpj0xJc" TARGET="_top" TITLE="https://youtu.be/wVJcfpj0xJc"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <A HREF="https://youtu.be/wVJcfpj0xJc" TARGET="_top" TITLE="https://youtu.be/wVJcfpj0xJc"><U><I><IMG SRC="774413170.gif" border=0 width="275" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </I></U></A><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/t5c0luVWE0Y" TARGET="_top" TITLE="https://youtu.be/t5c0luVWE0Y"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       <IMG SRC="77452d1b0.gif" border=0 width="301" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/FYgVvEAKYF0" TARGET="_top" TITLE="https://youtu.be/FYgVvEAKYF0"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       </I></div> <div> <I><IMG SRC="774681170.gif" border=0 width="385" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/CVPkuDbjiqs" TARGET="_top" TITLE="https://youtu.be/CVPkuDbjiqs"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       <IMG SRC="774711150.gif" border=0 width="273" height="21" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/iDFQQbrp7mc" TARGET="_top" TITLE="https://youtu.be/iDFQQbrp7mc"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       </I></div> <div> <I><IMG SRC="7748e41b0.gif" border=0 width="228" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/LK8bBLz2Dbw" TARGET="_top" TITLE="https://youtu.be/LK8bBLz2Dbw"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       <IMG SRC="774927170.gif" border=0 width="295" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/cyQoHYJtTG0" TARGET="_top" TITLE="https://youtu.be/cyQoHYJtTG0"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       <IMG SRC="774a5c1b0.gif" border=0 width="348" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/aQHuKwgz_n4" TARGET="_top" TITLE="https://youtu.be/aQHuKwgz_n4"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <I><IMG SRC="774b631b0.gif" border=0 width="355" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/G9MaH6Ng8Xg" TARGET="_top" TITLE="https://youtu.be/G9MaH6Ng8Xg"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       <IMG SRC="774cb3170.gif" border=0 width="435" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/PlW2q4frtiI" TARGET="_top" TITLE="https://youtu.be/PlW2q4frtiI"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <A HREF="https://youtu.be/PlW2q4frtiI" TARGET="_top" TITLE="https://youtu.be/PlW2q4frtiI"><U><I><IMG SRC="774d3d170.gif" border=0 width="317" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></I></U></A><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#16" TITLE="23"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/iDWAQPZ-WDU" TARGET="_top" TITLE="https://youtu.be/iDWAQPZ-WDU"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       <IMG SRC="774e991b0.gif" border=0 width="409" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></I><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#17" TITLE="23"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/USiCp0Fmwos" TARGET="_top" TITLE="https://youtu.be/USiCp0Fmwos"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <I><IMG SRC="774f07170.gif" border=0 width="519" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></I><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#18" TITLE="23"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/vPfMGjjCpDw" TARGET="_top" TITLE="https://youtu.be/vPfMGjjCpDw"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I>       <IMG SRC="775065170.gif" border=0 width="357" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></I><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#19" TITLE="23"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/q8NxyjlDmus" TARGET="_top" TITLE="https://youtu.be/q8NxyjlDmus"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <I><IMG SRC="77514f170.gif" border=0 width="335" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></I><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#20" TITLE="23"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><I> </I><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/Ur9kDy-DJk4" TARGET="_top" TITLE="https://youtu.be/Ur9kDy-DJk4"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Solución de los Ejercicios 23</B></div> <bR> <div>  <iframe width="560" height="315" src="https://www.youtube.com/embed/videoseries?list=PLq_SQwoOZHo0hqAPyImWQRkhcBrcZ_QrF" frameborder="0" allowfullscreen></iframe>  </div> <div> <B>D</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >e:</FONT></div> <div>  <A NAME="1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1</div> <div> <IMG SRC="5964d1a40.gif" border=0 width="977" height="164" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B> <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>2</B></div> <div> <IMG SRC="596ed1a40.gif" border=0 width="977" height="164" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B> <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>3</B></div> <div> <IMG SRC="596fd1a70.gif" border=0 width="977" height="167" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B> <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>4</B></div> <div> <IMG SRC="5970d1a70.gif" border=0 width="977" height="167" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B> <A NAME="5"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>5</B></div> <div> <IMG SRC="5971d1a70.gif" border=0 width="977" height="167" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B> <A NAME="16"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>16</B></div> <div> <IMG SRC="5965d1a70.gif" border=0 width="977" height="167" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B> <A NAME="17"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>17</B></div> <div> <IMG SRC="5972d1c30.gif" border=0 width="977" height="195" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B> <A NAME="18"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>18</B></div> <div> <IMG SRC="5973d1bf0.gif" border=0 width="977" height="191" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B> <A NAME="19"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>19</B></div> <div> <IMG SRC="5974d1a70.gif" border=0 width="977" height="167" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B> <A NAME="20"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>20</B></div> <div> <IMG SRC="5975d1a70.gif" border=0 width="977" height="167" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <bR> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="http://twitter.com/Calculo21" TARGET="_top" TITLE="http://twitter.com/Calculo21"><U><IMG SRC="2fc828280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="http://www.facebook.com/juan.beltran.58511" TARGET="_top" TITLE="http://www.facebook.com/juan.beltran.585"><U><IMG SRC="76fa28280.gif" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U><IMG SRC="2fca28280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <bR> <div> Por: <FONT SIZE="4" COLOR="#FF9900" FACE="Times New Roman" >Juan Carlos </FONT><FONT SIZE="4" COLOR="#0000FF" FACE="Times New Roman" >Beltrán</FONT> <FONT SIZE="4" COLOR="#FF0000" FACE="Times New Roman" >Beltrán </FONT></div> <bR> <bR> <bR> <div> <A HREF="http://calculo21.com/" TARGET="_top" TITLE="http://calculo21.com/"><U><B><IMG SRC="76fee5530.gif" border=0 width="741" height="83" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <div> | <A HREF="https://calculo21.com/tabla-de-contenido/funciones-y-sus-graficas/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>Funciones</U></A> | <A HREF="https://calculo21.com/tabla-de-contenido/limites-y-continuidad/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>Límites y continuidad</U></A> | <A HREF="https://calculo21.com/tabla-de-contenido/la-derivada/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>La derivada</U></A> | <A HREF="https://calculo21.com/aplicaciones-de-la-derivada/" TARGET="_top" TITLE="https://calculo21.com/aplicaciones-de-la"><U>Aplicaciones de la derivada</U></A> |</div> <div> | <A HREF="https://calculo21.com/tabla-de-contenido/la-integral-y-tecnicas-ee-integracion/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>La integral</U></A> | <A HREF="https://calculo21.com/aplicaciones-de-la-integral/" TARGET="_top" TITLE="https://calculo21.com/aplicaciones-de-la"><U>Aplicaciones de la integral</U></A> |</div> <div> | <A HREF="https://calculo21.com/tabla-de-contenido/sucesiones-y-series/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>Sucesiones y series infinitas</U></A> |</div> <div> | <A HREF="https://calculo21.com/ecuaciones-parametricas-y-coordenadas-polares/" TARGET="_top" TITLE="https://calculo21.com/ecuaciones-paramet"><U>Cónicas - Polares - Paramétricas</U></A> |</div> <div> | <A HREF="https://calculo21.com/ecuaciones-diferenciales/" TARGET="_top" TITLE="https://calculo21.com/ecuaciones-diferen"><U>Ecuaciones diferenciales</U></A> |</div> <div> | <A HREF="https://calculo21.com/calculo-vectorial/" TARGET="_top" TITLE="https://calculo21.com/calculo-vectorial/"><U>Cálculo vectorial</U></A> | <A HREF="https://calculo21.com/algebra-lineal/" TARGET="_top" TITLE="https://calculo21.com/algebra-lineal/"><U>Álgebra lineal</U></A> |</div> <div> | <A HREF="http://www.algebra.jcbmat.com/index.htm" TARGET="_top" TITLE="http://www.algebra.jcbmat.com/index.htm"><U>Álgebra de Baldor</U></A> | </div> <div> | <A HREF="http://calculo21.blogspot.com/" TARGET="_top" TITLE="http://calculo21.blogspot.com/"><U>Blog Cálculo21</U></A> | <A HREF="http://videomate21.blogspot.com/" TARGET="_top" TITLE="http://videomate21.blogspot.com/"><U>Blog Algebra de Baldor</U></A> | <A HREF="http://equat21z.blogspot.com/" TARGET="_top" TITLE="http://equat21z.blogspot.com/"><U>Blog Ecuaciones diferenciales</U></A> | <A HREF="http://bancomate.blogspot.com.co/" TARGET="_top" TITLE="http://bancomate.blogspot.com.co/"><U>Blog Banco de matemáticas</U></A> |</div> <div> | <A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U>Canal de YouTube</U></A> |</div> <bR> </td> <td valign="top" rowspan="2" width=105 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U><B><IMG SRC="76f464580.gif" border=0 width="100" height="600" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <bR> <bR> <bR> </td> </tr><tr> <td valign="top" height=24 BGCOLOR="#003333" TEXT="#F7F7FF"> <div>  <form action="http://www.google.com.co" id="cse-search-box" target="_blank"> <div> <input type="hidden" name="cx" value="partner-pub-6266400581769473:6497222116" /> <input type="hidden" name="ie" value="UTF-8" /> <input type="text" name="q" size="64" /> <input type="submit" name="sa" value="Buscar en MatU" /> </div> </form> <script type="text/javascript" src="http://www.google.com.co/coop/cse/brand?form=cse-search-box&lang=es"></script>  </div> </td> </tr></table></body>