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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Al factorizar la expresión </span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#eje«/mi»«/math»</span><span style="font-family: times new roman,times,serif;"> se obtiene :</span></font><br /><br />
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<font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Solución:<br /><br /></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">La expresión </font><font size="4" style="font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#eje«/mi»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"> corresponde a una <span style="font-weight: bold;">suma de cubos perfectos</span>, la cual debemos factorizar de la siguiente manera: </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«msup»«mi»a«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«msup»«mi»b«/mi»«mn»3«/mn»«/msup»«mo»=«/mo»«mo»(«/mo»«mi»a«/mi»«mo»+«/mo»«mi»b«/mi»«mo»)«/mo»«mo»(«/mo»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»a«/mi»«mi»b«/mi»«mo»+«/mo»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»)«/mo»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Entonces, para nuestro binomio </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#D1«/mi»«msup»«mi»#A«/mi»«mi»#k1«/mi»«/msup»«mo»+«/mo»«mi»#D2«/mi»«msup»«mi»#B«/mi»«mi»#k2«/mi»«/msup»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"> </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">, debemos considerar que es un <span style="font-weight: bold;">binomio suma</span>, ya que tenemos el término </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#D1«/mi»«msup»«mi»#A«/mi»«mi»#k1«/mi»«/msup»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"> </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><span style="font-weight: bold;">sumado</span> al término </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#D2«/mi»«msup»«mi»#B«/mi»«mi»#k2«/mi»«/msup»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">.<br /></font><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;"> </span><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«msup»«mfenced»«mrow»«mi»#c1«/mi»«msup»«mi»#A«/mi»«mi»#n1«/mi»«/msup»«/mrow»«/mfenced»«mn»3«/mn»«/msup»«mo»+«/mo»«msup»«mfenced»«mrow»«mi»#c2«/mi»«msup»«mi»#B«/mi»«mi»#n2«/mi»«/msup»«/mrow»«/mfenced»«mn»3«/mn»«/msup»«mo»=«/mo»«mfenced»«mrow»«mfenced»«mrow»«mi»#c1«/mi»«msup»«mi»#A«/mi»«mi»#n1«/mi»«/msup»«/mrow»«/mfenced»«mo»+«/mo»«mfenced»«mrow»«mi»#c2«/mi»«msup»«mi»#B«/mi»«mi»#n2«/mi»«/msup»«/mrow»«/mfenced»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mfenced»«mrow»«mi»#c1«/mi»«msup»«mi»#A«/mi»«mi»#n1«/mi»«/msup»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»-«/mo»«mfenced»«mrow»«mi»#c1«/mi»«msup»«mi»#A«/mi»«mi»#n1«/mi»«/msup»«/mrow»«/mfenced»«mo»·«/mo»«mfenced»«mrow»«mi»#c2«/mi»«msup»«mi»#B«/mi»«mi»#n2«/mi»«/msup»«/mrow»«/mfenced»«mo»+«/mo»«msup»«mfenced»«mrow»«mi»#c2«/mi»«msup»«mi»#B«/mi»«mi»#n2«/mi»«/msup»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«/math»</span><br style="font-family: times new roman,times,serif;" /></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Recuerda considerar que<br /><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mroot»«mrow»«mi»#D1«/mi»«msup»«mi»#A«/mi»«mrow»«mi»#k1«/mi»«/mrow»«/msup»«/mrow»«mn»3«/mn»«/mroot»«mo»=«/mo»«mfenced close="" open="{"»«mtable»«mtr»«mtd»«mi»P«/mi»«mi»a«/mi»«mi»r«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»n«/mi»«mi»u«/mi»«mi»m«/mi»«mi»é«/mi»«mi»r«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»(«/mo»«mi»c«/mi»«mi»o«/mi»«mi»e«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»)«/mo»«mo»:«/mo»«mroot»«mrow»«mi»#D1«/mi»«/mrow»«mn»3«/mn»«/mroot»«mo»=«/mo»«mi»#c1«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»P«/mi»«mi»a«/mi»«mi»r«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»L«/mi»«mi»i«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mo»(«/mo»«mi»p«/mi»«mi»o«/mi»«mi»t«/mi»«mi»e«/mi»«mi»n«/mi»«mi»c«/mi»«mi»i«/mi»«mi»a«/mi»«mo»)«/mo»«mo»:«/mo»«mroot»«mrow»«msup»«mi»#A«/mi»«mrow»«mi»#k1«/mi»«/mrow»«/msup»«/mrow»«mn»3«/mn»«/mroot»«mo»=«/mo»«msup»«mi»#A«/mi»«mfrac»«mrow»«mi»#k1«/mi»«/mrow»«mn»3«/mn»«/mfrac»«/msup»«mo»=«/mo»«msup»«mi»#A«/mi»«mrow»«mi»#n1«/mi»«/mrow»«/msup»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"> </font><font size="4" style="font-style: italic;"><br /><br /></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mroot»«mrow»«mi»#D2«/mi»«msup»«mi»#B«/mi»«mi»#k2«/mi»«/msup»«/mrow»«mn»3«/mn»«/mroot»«mo»=«/mo»«mfenced close="" open="{"»«mtable»«mtr»«mtd»«mi»P«/mi»«mi»a«/mi»«mi»r«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»n«/mi»«mi»u«/mi»«mi»m«/mi»«mi»é«/mi»«mi»r«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»:«/mo»«mo»§nbsp;«/mo»«mroot»«mi»#D2«/mi»«mn»3«/mn»«/mroot»«mo»=«/mo»«mi»#c2«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»P«/mi»«mi»a«/mi»«mi»r«/mi»«mi»t«/mi»«mi»e«/mi»«mi»L«/mi»«mi»i«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»l«/mi»«mo»:«/mo»«mroot»«msup»«mi»#B«/mi»«mi»#k2«/mi»«/msup»«mn»3«/mn»«/mroot»«mo»=«/mo»«msup»«mi»#B«/mi»«mfrac»«mi»#k2«/mi»«mn»3«/mn»«/mfrac»«/msup»«mo»=«/mo»«msup»«mi»#B«/mi»«mi»#n2«/mi»«/msup»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»</span></font><br style="font-family: times new roman,times,serif;" /><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><br /> Luego, si desarrollamos cada potencia y productos respectivos, se obtiene que:<br /><br /> </font> <div style="text-align: center;"><font size="4" style="font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#eje«/mi»«mo»=«/mo»«mi»#opa«/mi»«/math»</span></font><br style="font-family: times new roman,times,serif;" /></div><font size="4" style="font-style: italic;"><br style="font-family: times new roman,times,serif;" /></font><font size="4"><span style="font-family: times new roman,times,serif;"><br /></span></font><font size="4" style="font-family: times new roman,times,serif;"></font>
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Choice 1
Answer
#opa
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Bien. Continúa de esta manera.<br /></span></font>
Choice 2
Answer
#ope
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Revisa tu procedimiento, pues en el trinomio <span style="font-weight: bold;">no</span> se utiliza <span style="font-weight: bold;">el doble del primer término por el segundo</span>.</span></font>
Choice 3
Answer
#opb
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Al parecer tienes un error de signos. Revisa tu resultado resolviendo el producto entre el binomio y el trinomio. </span></font><br />
Choice 4
Answer
#opc
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Al parecer estás confundiendo la factorización con el concepto de producto notable.</span></font><br />
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Choice 6
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Choice 7
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Tuesday, 13 August 2013, 4:22 PM
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