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<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" height=77 BGCOLOR="#009999" TEXT="#080000"> <div> <FONT SIZE="5" COLOR="#33FFCC" FACE="Times New Roman" ><B>Precálculo21</B></FONT> | <A HREF="index.htm" TARGET="_top" TITLE="Precálculo21"><U>Página principal</U></A> |<A HREF="id22.htm" TARGET="_top" TITLE="Álgebra de Baldor"><U> Álgebra de Baldor</U></A></div> <div> <A HREF="id26.htm" TARGET="_top" TITLE="1"><U>1</U></A> | <A HREF="id27.htm" TARGET="_top" TITLE="2"><U>2</U></A> | <A HREF="id28.htm" TARGET="_top" TITLE="3"><U>3</U></A> | <A HREF="id29.htm" TARGET="_top" TITLE="4"><U>4</U></A> | <A HREF="id30.htm" TARGET="_top" TITLE="5"><U>5</U></A> | <A HREF="id31.htm" TARGET="_top" TITLE="6"><U>6</U></A> | <B>7</B> | <A HREF="id33.htm" TARGET="_top" TITLE="8"><U>8</U></A> | <A HREF="id34.htm" TARGET="_top" TITLE="9"><U>9</U></A> | <A HREF="id35.htm" TARGET="_top" TITLE="10"><U>10</U></A> | <A HREF="id36.htm" 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| <A HREF="id120.htm" TARGET="_top" TITLE="94"><U>94</U></A> | <A HREF="id121.htm" TARGET="_top" TITLE="95"><U>95</U></A> | <A HREF="id122.htm" TARGET="_top" TITLE="96"><U>96</U></A> | <A HREF="id123.htm" TARGET="_top" TITLE="97"><U>97</U></A> | <A HREF="id124.htm" TARGET="_top" TITLE="98"><U>98</U></A> | <A HREF="id125.htm" TARGET="_top" TITLE="99"><U>99</U></A> | <A HREF="id126.htm" TARGET="_top" TITLE="100"><U>100</U></A> | <A HREF="id127.htm" TARGET="_top" TITLE="101"><U>101</U></A> | <A HREF="id128.htm" TARGET="_top" TITLE="102"><U>102</U></A></div> <div> </div> </td> </tr><tr> <td valign="top" height=382 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>7</B></div> <div> <B>Reducción de dos o más términos semejantes del mismo signo</B></div> <bR> <div> <I>Sugerencia</I><I>:</I><I> lee cuidadosamente, en el Álgebra de Baldor, la página N</I><FONT SIZE="1" COLOR="#FF9900" FACE="Times New Roman" ><I><U>ro</U></I><I> </I></FONT><I>19.</I></div> <bR> <div> <B>Definición</B><B>:</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" > Dos o más términos son semejantes cuando tienen las mismas letras y afectadas por el mismo exponente. </FONT></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <U> <TABLE BORDER="2" CELLPADDING="2" CELLSPACING="1" WIDTH="508" BORDERCOLORLIGHT="#00FFFF" BORDERCOLORDARK="#0000CC" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 122 WIDTH="496"><div> <B>P r o c e d i m i e n t o</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><B> </B></FONT></div> <div> </div> <div> <FONT SIZE="3" COLOR="#FF6600" FACE="Times New Roman" ><B>P</B></FONT>ara reducir términos semejantes con el mismo signo se suman los coeficientes de todos los términos y se antepone al coeficiente total el mismo signo que comparten, y a continuación se escribe la parte literal.</div> <bR> </tD> </tR> </TABLE></U></div> <bR> <div> Reducir:</div> <bR> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>1.</B></FONT> <I>x + </I>2<I>x.</I></div> <div> <U>S o l u c i ó n </U>: </div> <div> El signo común a todos los términos es el +.</div> <div> Los coeficientes de los términos son 1 y 2.</div> <div> La parte literal igual en todos los términos es <I> x</I>. </div> <div> Y 1 + 2 = 3;</div> <div> <FONT SIZE="3" COLOR="#000000" FACE="Symbol" >\</FONT> <I>x</I> + 2<I>x</I> = <FONT SIZE="3" COLOR="#0000FF" FACE="Times New Roman" >3<I>x</I></FONT>.</div> <bR> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>2.</B></FONT> 8<I>a</I> + 9<I>a</I></div> <div> <U>S o l u c i ó n </U>: </div> <div> El signo común a todos los términos es el +.</div> <div> Los coeficientes de los términos son 8 y 9.</div> <div> La parte literal igual en todos los términos es <I>a</I>. </div> <div> Y 8 + 9 = 17;</div> <div> <FONT SIZE="3" COLOR="#000000" FACE="Symbol" >\</FONT> 8<I>a</I> + 9<I>a</I> = <FONT SIZE="3" COLOR="#0000FF" FACE="Times New Roman" >17<I>a</I></FONT>. </div> <bR> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>3.</B></FONT> 11<I>b</I> + 9<I>b</I></div> <div> <U>S o l u c i ó n </U>:</div> <div> El signo común a todos los términos es el +.</div> <div> Los coeficientes de los términos son 11 y 9.</div> <div> La parte literal igual en todos los términos es <I>b</I>. </div> <div> Y 11 + 9 = 20;</div> <div> <FONT SIZE="3" COLOR="#000000" FACE="Symbol" >\</FONT> 11<I>b</I> + 9<I>a</I> = <FONT SIZE="3" COLOR="#0000FF" FACE="Times New Roman" >20<I>b</I></FONT>. </div> <bR> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>4.</B></FONT> -<I>b</I> - 5<I>b</I>.</div> <div> <U>Solución</U>: </div> <div> El signo común a todos los términos es el -.</div> <div> Los coeficientes de los términos son 1 y 5.</div> <div> La parte literal igual en todos los términos es <I>b</I>.</div> <div> Y 1 + 5 = 6;</div> <div> <FONT SIZE="3" COLOR="#000000" FACE="Symbol" >\</FONT> -<I>b</I> - 5<I>b</I> = <FONT SIZE="3" COLOR="#0000FF" FACE="Times New Roman" >-6b</FONT>.</div> <bR> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>5.</B></FONT> -8<I>m</I> - <I>m</I></div> <div> <U>Solución</U>: </div> <div> El signo común a todos los términos es el -.</div> <div> Los coeficientes de los términos son 8 y 1.</div> <div> La parte literal igual en todos los términos es <I>m</I>.</div> <div> Y 8 + 1 = 9;</div> <div> <FONT SIZE="3" COLOR="#000000" FACE="Symbol" >\</FONT> -8<I>m</I> - <I>m</I> = <FONT SIZE="3" COLOR="#0000FF" FACE="Times New Roman" >-9<I>m</I></FONT>.</div> <bR> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>6.</B></FONT> -9<I>m</I> - 7<I>m</I></div> <div> <U>Solución</U>: </div> <div> El signo común a todos los términos es el -.</div> <div> Los coeficientes de los términos son 9 y 7.</div> <div> La parte literal igual en todos los términos es <I>m</I>.</div> <div> Y 9 + 7 = 16;</div> <div> <FONT SIZE="3" COLOR="#000000" FACE="Symbol" >\</FONT> -9<I>m</I> - 7<I>m</I> = <FONT SIZE="3" COLOR="#0000FF" FACE="Times New Roman" >-16<I>m</I></FONT>.</div> <bR> <div> 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