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<span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;">Simplifica la siguiente expresión:<br /><br /></span></font></span> <div style="text-align: center;"><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»#a3«/mi»«msup»«mi»#b1«/mi»«mn»3«/mn»«/msup»«mi»#c1«/mi»«mi»#a4«/mi»«msup»«mi»#b2«/mi»«mn»3«/mn»«/msup»«/mrow»«mrow»«mi»#a5«/mi»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»#a6«/mi»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«/math»</span></span></font></span><br /><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"></span></font></span></div><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"></span></font></span>
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Solución: <br /><br />Al ser <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a3«/mi»«msup»«mi»#b1«/mi»«mn»3«/mn»«/msup»«mi»#c1«/mi»«mi»#a4«/mi»«msup»«mi»#b2«/mi»«mn»3«/mn»«/msup»«/math»</span> una #p de cubos, factorizamos de la siguiente manera:</span><br style="font-family: times new roman,times,serif;" /><br style="font-family: times new roman,times,serif;" /><span style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mtable»«mtr»«mtd»«mi»#a3«/mi»«msup»«mi»#b1«/mi»«mn»3«/mn»«/msup»«mi»#c1«/mi»«mi»#a4«/mi»«msup»«mi»#b2«/mi»«mn»3«/mn»«/msup»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«msup»«mi»#a1«/mi»«mn»3«/mn»«/msup»«msup»«mi»#b1«/mi»«mn»3«/mn»«/msup»«mi»#c3«/mi»«msup»«mi»#a2«/mi»«mn»3«/mn»«/msup»«msup»«mi»#b2«/mi»«mn»3«/mn»«/msup»«/mtd»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«msup»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«/mrow»«/mfenced»«mn»3«/mn»«/msup»«mi»#c3«/mi»«msup»«mfenced»«mrow»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mn»3«/mn»«/msup»«/mtd»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mi»#c3«/mi»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mi»#c2«/mi»«mi»#a1«/mi»«mo»·«/mo»«mi»#a2«/mi»«mi»#b1«/mi»«mi»#b2«/mi»«mo»+«/mo»«msup»«mfenced»«mrow»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mi»#c3«/mi»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mi»#c2«/mi»«mi»#a7«/mi»«mi»#b1«/mi»«mi»#b2«/mi»«mo»+«/mo»«msup»«mi»#a2«/mi»«mn»2«/mn»«/msup»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mi»#c3«/mi»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a5«/mi»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mi»#c2«/mi»«mi»#a7«/mi»«mi»#b1«/mi»«mi»#b2«/mi»«mo»+«/mo»«mi»#a6«/mi»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«/mtd»«/mtr»«/mtable»«/mtd»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«/mtd»«/mtr»«/mtable»«/math»</span></span><br style="font-family: times new roman,times,serif;" /><span style="font-family: times new roman,times,serif;">Como <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a5«/mi»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»#a6«/mi»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/math»</span> es una diferencia de cuadrados, factorizamos de este modo:<br /><br /><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable»«mtr»«mtd»«mi»#a5«/mi»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»#a6«/mi»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»#a2«/mi»«mn»2«/mn»«/msup»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«/mtd»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«msup»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mfenced»«mrow»«mi»#a2«/mi»«mi»#b1«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mtd»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mo»-«/mo»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mo»+«/mo»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»</span><br /><br />Así: <br /><br /></span></font> <div style="text-align: center; font-family: times new roman,times,serif; font-style: italic;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»#a3«/mi»«msup»«mi»#b1«/mi»«mn»3«/mn»«/msup»«mi»#c1«/mi»«mi»#a4«/mi»«msup»«mi»#b2«/mi»«mn»3«/mn»«/msup»«/mrow»«mrow»«mi»#a5«/mi»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»#a6«/mi»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mi»#c3«/mi»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a5«/mi»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mi»#c2«/mi»«mi»#a7«/mi»«mi»#b1«/mi»«mi»#b2«/mi»«mo»+«/mo»«mi»#a6«/mi»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«/mrow»«mrow»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mo»-«/mo»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mo»+«/mo»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«/mrow»«/mfrac»«/math»</span><br /><br /></font> <div style="text-align: left;"><font size="4">Simplificando lo anterior:<br /><br /><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mi»#c3«/mi»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a5«/mi»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mi»#c2«/mi»«mi»#a7«/mi»«mi»#b1«/mi»«mi»#b2«/mi»«mo»+«/mo»«mi»#a6«/mi»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«/mrow»«mrow»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mo»-«/mo»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mo»+«/mo»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mfenced»«mrow»«mi»#a5«/mi»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mi»#c2«/mi»«mi»#a7«/mi»«mi»#b1«/mi»«mi»#b2«/mi»«mo»+«/mo»«mi»#a6«/mi»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mi»#c4«/mi»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«/mfrac»«/math»</span><br /><br />Por lo tanto: <br /></font></div></div><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;"><br /></span></font> <div style="text-align: center;"><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"»«mfrac»«mrow»«mi»#a3«/mi»«msup»«mi»#b1«/mi»«mn»3«/mn»«/msup»«mi»#c1«/mi»«mi»#a4«/mi»«msup»«mi»#b2«/mi»«mn»3«/mn»«/msup»«/mrow»«mrow»«mi»#a5«/mi»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»#a6«/mi»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»#a5«/mi»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mi»#c2«/mi»«mi»#a7«/mi»«mi»#b1«/mi»«mi»#b2«/mi»«mo»+«/mo»«mi»#a6«/mi»«msup»«mi»#b2«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«mi»#a1«/mi»«mi»#b1«/mi»«mi»#c4«/mi»«mi»#a2«/mi»«mi»#b2«/mi»«/mrow»«/mfrac»«/math»</span></span></font><br /></div>
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Choice 1
Answer
#sol
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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.</span></font>
Choice 2
Answer
#n1
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Revisa la simplificación de los factores.</span></font><br />
Choice 3
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#n2
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Revisa la simplificación de los factores.</span></font>
Choice 4
Answer
#n3
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Recuerda que no se simplifican los exponenetes de las variables.</span></font>
Choice 5
Answer
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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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