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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;"> Determine cuál de las alternativas corresponde a una factorización de:<br /><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#n1«/mi»«mi»#a1«/mi»«mi»#b1«/mi»«mo»-«/mo»«mi»#n1«/mi»«mi»#a1«/mi»«mi»#b2«/mi»«mo»-«/mo»«mi»#a2«/mi»«mi»#b1«/mi»«mo»+«/mo»«mi»#a2«/mi»«mi»#b2«/mi»«/math»</span> </span><br style="font-family: times new roman,times,serif;" /><span style="color: rgb(153, 0, 0); font-family: times new roman,times,serif;">Obs.: Puede haber más de una respuesta correcta.</span><br style="font-family: times new roman,times,serif;" /></font>
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<font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Solución:<br /><br />Para factorizar </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»#n1«/mi»«mi»#a1«/mi»«mi»#b1«/mi»«mo»-«/mo»«mi»#n1«/mi»«mi»#a1«/mi»«mi»#b2«/mi»«mo»+«/mo»«mi»#a2«/mi»«mi»#b1«/mi»«mo»-«/mo»«mi»#a2«/mi»«mi»#b2«/mi»«/math»</span> agruparemos los términos en parejas de la siguiente forma:<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"»«mfenced»«mrow»«mi»#n1«/mi»«mi»#a1«/mi»«mi»#b1«/mi»«mo»-«/mo»«mi»#n1«/mi»«mi»#a1«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mo»+«/mo»«mfenced»«mrow»«mo»-«/mo»«mi»#a2«/mi»«mi»#b1«/mi»«mo»+«/mo»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«/math»</span></font><br /><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Luego, en cada paréntesis factorizaremos por el factor común:<br /></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 class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#n1«/mi»«mi»#a1«/mi»«mfenced»«mrow»«mi»#b1«/mi»«mo»-«/mo»«mi»#b2«/mi»«/mrow»«/mfenced»«mo»-«/mo»«mi»#a2«/mi»«mfenced»«mrow»«mi»#b1«/mi»«mo»-«/mo»«mi»#b2«/mi»«/mrow»«/mfenced»«/math»</span><br style="font-family: times new roman,times,serif;" /><span style="font-family: times new roman,times,serif;">Observemos que el término </span><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mi»#b1«/mi»«mo»-«/mo»«mi»#b2«/mi»«/mrow»«/mfenced»«/math»</span><span style="font-family: times new roman,times,serif;"> es común a los dos sumandos, por lo tanto, podemos factorizar por este.<br /><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mi»#b1«/mi»«mo»-«/mo»«mi»#b2«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#n1«/mi»«mi»#a1«/mi»«mo»-«/mo»«mi»#a2«/mi»«/mrow»«/mfenced»«/math»</span></span></font><font size="4" style="font-style: italic;"><br style="font-family: times new roman,times,serif;" /></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Como la multiplicación es conmutativa, la expresión<br /></font><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;"> </span></font><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mi»#n1«/mi»«mi»#a1«/mi»«mo»-«/mo»«mi»#a2«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#b1«/mi»«mo»-«/mo»«mi»#b2«/mi»«/mrow»«/mfenced»«/math»</span></span></font><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;"></span><span style="font-family: times new roman,times,serif;"><br />también es una factorización de:</span></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»#n1«/mi»«mi»#a1«/mi»«mi»#b1«/mi»«mo»-«/mo»«mi»#n1«/mi»«mi»#a1«/mi»«mi»#b2«/mi»«mo»+«/mo»«mi»#a2«/mi»«mi»#b1«/mi»«mo»-«/mo»«mi»#a2«/mi»«mi»#b2«/mi»«/math»</span></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;">¡Muy bien! Sigue así.</span></font>
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#opb
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">¡Muy bien! Sigue así.</span></font>
Choice 3
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#opc
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#opd
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Choice 7
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Tuesday, 13 August 2013, 4:22 PM
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