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<font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Simplifica </font><font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;">la siguiente expresión:</span></font><br /><br /> <div style="text-align: center;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»#b2«/mi»«/mrow»«mrow»«mi»#a1«/mi»«mi»#c1«/mi»«mi»#b3«/mi»«/mrow»«/mfrac»«mo»·«/mo»«mfrac»«mrow»«msup»«mi»#a1«/mi»«mn»3«/mn»«/msup»«mi»#c2«/mi»«mi»#b5«/mi»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c3«/mi»«mi»#b6«/mi»«mi»#a1«/mi»«/mrow»«mrow»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c4«/mi»«mi»#b8«/mi»«mi»#a1«/mi»«mi»#c5«/mi»«mi»#b9«/mi»«/mrow»«/mfrac»«mo»÷«/mo»«mfenced»«mrow»«mi»#a1«/mi»«mo»-«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«/math»</span><br /></div>
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<div style="text-align: left; font-family: times new roman,times,serif; font-style: italic;"><font size="4">Solución: <br /><br />Primero, debemos factorizar todos los términos.<br /><br /><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»#b2«/mi»«mo»=«/mo»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»#b1«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mfenced»«mrow»«mi»#a1«/mi»«mo»-«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mo»+«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«/math»</span> ( suma por su diferencia )<br /></font><font size="4"></font><br /><font size="4"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»#a1«/mi»«mn»3«/mn»«/msup»«mi»#c2«/mi»«mi»#b5«/mi»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c3«/mi»«mi»#b6«/mi»«mi»#a1«/mi»«mo»=«/mo»«mi»#a1«/mi»«mfenced»«mrow»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c2«/mi»«mi»#b5«/mi»«mi»#a1«/mi»«mi»#c3«/mi»«mi»#b6«/mi»«/mrow»«/mfenced»«/math»</span><br />Para factorizar <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c2«/mi»«mi»#b5«/mi»«mi»#a1«/mi»«mi»#c3«/mi»«mi»#b6«/mi»«/math»</span> , recuerda que debemos buscar dos números de los cuales la suma de ellos resulte </font><font size="4"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b5«/mi»«/math»</span> y la multiplicación resulte </font><font size="4"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b6«/mi»«/math»</span>.</font><br /><font size="4"><br />Así </font><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#a1«/mi»«mfenced»«mrow»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c2«/mi»«mi»#b5«/mi»«mi»#a1«/mi»«mi»#c3«/mi»«mi»#b6«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mi»#a1«/mi»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c6«/mi»«mi»#b3«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c7«/mi»«mi»#b4«/mi»«/mrow»«/mfenced»«/math»</span><br /><br /><font size="4">Ahora, factorizamos <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c4«/mi»«mi»#b8«/mi»«mi»#a1«/mi»«mi»#c5«/mi»«mi»#b9«/mi»«/math»</span> y recuerda que debemos buscar dos números tal que la suma de ellos resulte </font><font size="4"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b8«/mi»«/math»</span></font> <font size="4">y la multiplicación de ellos resulte </font><font size="4"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b9«/mi»«/math»</span></font><font size="4">.</font><br /><br /><font size="4">Así</font>:<br /><font size="4"><br /></font><font size="4"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c4«/mi»«mi»#b8«/mi»«mi»#a1«/mi»«mi»#c5«/mi»«mi»#b9«/mi»«mo»=«/mo»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c8«/mi»«mi»#b7«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mo»+«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«/math»</span></font><br /><font size="4"><br />Por lo tanto:<br /><br /></font><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»#a1«/mi»«mo»-«/mo»«mi»#b2«/mi»«/mrow»«mrow»«mi»#a1«/mi»«mi»#c1«/mi»«mi»#b3«/mi»«/mrow»«/mfrac»«mo»·«/mo»«mfrac»«mrow»«msup»«mi»#a1«/mi»«mn»3«/mn»«/msup»«mi»#c2«/mi»«mi»#b5«/mi»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c3«/mi»«mi»#b6«/mi»«mi»#a1«/mi»«/mrow»«mrow»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c4«/mi»«mi»#b8«/mi»«mi»#a1«/mi»«mi»#c5«/mi»«mi»#b9«/mi»«/mrow»«/mfrac»«mo»÷«/mo»«mfenced»«mrow»«mi»#a1«/mi»«mo»-«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mfrac»«mrow»«mfenced»«mrow»«mi»#a1«/mi»«mo»-«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mo»+«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«/mrow»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c1«/mi»«mi»#b3«/mi»«/mrow»«/mfenced»«/mfrac»«mo»·«/mo»«mfrac»«mrow»«mi»#a1«/mi»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c6«/mi»«mi»#b3«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c7«/mi»«mi»#b4«/mi»«/mrow»«/mfenced»«/mrow»«mrow»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c8«/mi»«mi»#b7«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mo»+«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«/mrow»«/mfrac»«mo»·«/mo»«mfrac»«mn»1«/mn»«mfenced»«mrow»«mi»#a1«/mi»«mo»-«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«/mfrac»«/math»</span><br /><br /><font size="4">Esta multiplicación cumple con la propiedad conmutativa, por lo tanto, ordenamos y simplificamos lo anterior de la siguiente forma:</font><br /><br /><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mfenced»«mrow»«mi»#a1«/mi»«mo»-«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mo»+«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c6«/mi»«mi»#b3«/mi»«/mrow»«/mfenced»«mi»#a1«/mi»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c7«/mi»«mi»#b4«/mi»«/mrow»«/mfenced»«/mrow»«mrow»«mfenced»«mrow»«mi»#a1«/mi»«mo»-«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mo»+«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c1«/mi»«mi»#b3«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c8«/mi»«mi»#b7«/mi»«/mrow»«/mfenced»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»#a1«/mi»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c7«/mi»«mi»#b4«/mi»«/mrow»«/mfenced»«/mrow»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c8«/mi»«mi»#b7«/mi»«/mrow»«/mfenced»«/mfrac»«/math»</span><br /><font size="4"><br />Por consiguiente:</font><br /><br /><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»#a1«/mi»«mo»-«/mo»«mi»#b2«/mi»«/mrow»«mrow»«mi»#a1«/mi»«mi»#c1«/mi»«mi»#b3«/mi»«/mrow»«/mfrac»«mo»·«/mo»«mfrac»«mrow»«msup»«mi»#a1«/mi»«mn»3«/mn»«/msup»«mi»#c2«/mi»«mi»#b5«/mi»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c3«/mi»«mi»#b6«/mi»«mi»#a1«/mi»«/mrow»«mrow»«msup»«mi»#a1«/mi»«mn»2«/mn»«/msup»«mi»#c4«/mi»«mi»#b8«/mi»«mi»#a1«/mi»«mi»#c5«/mi»«mi»#b9«/mi»«/mrow»«/mfrac»«mo»÷«/mo»«mfenced»«mrow»«mi»#a1«/mi»«mo»-«/mo»«mi»#b1«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mfrac»«mrow»«mi»#a1«/mi»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c7«/mi»«mi»#b4«/mi»«/mrow»«/mfenced»«/mrow»«mfenced»«mrow»«mi»#a1«/mi»«mi»#c8«/mi»«mi»#b7«/mi»«/mrow»«/mfenced»«/mfrac»«/math»</span><br /></div>
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">¡Excelente!</span></font><br />
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66.66667%
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33.33333%
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16.66667%
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Revisa el desarrollo para identificar tus errores. ¡Tú puedes! </span></font>
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70%
66.66667%
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50%
40%
33.33333%
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25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
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