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<font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;"> Al factorizar </span><span style="font-family: times new roman,times,serif; font-style: italic;"> <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#a1«/mi»«mo»-«/mo»«mi»#x2«/mi»«/math»</span> resulta: </span></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"><span style="font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a1«/mi»«mo»-«/mo»«mi»#x2«/mi»«/math»</span></span></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"> debemos reconocer que es una diferencia de cuadrados, por lo que utilizaremos el siguiente producto notable: <br /></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"»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mfenced»«mrow»«mi»a«/mi»«mo»+«/mo»«mi»b«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»a«/mi»«mo»-«/mo»«mi»b«/mi»«/mrow»«/mfenced»«/math»</span> <br /></font> <div style="text-align: left;"><font size="4">Para aplicarlo, tenemos que identificar <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»a«/mi»«/math»</span> y <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»b«/mi»«/math»</span>. Para hacer esto, cada término lo escribiremos como un cuadrado perfecto, es decir,</font><font size="4"> <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»a«/mi»«/math»</span> es el término que al </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">cuadrado da como resultado <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a1«/mi»«/math»</span> </font><font size="4">. En este caso <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»a«/mi»«mo»=«/mo»«mi»#a12«/mi»«/math»</span>.<br />Por otro lado, </font><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»b«/mi»«/math»</span> es el término </font><font size="4">que al </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">cuadrado da como resultado <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#x2«/mi»«/math»</span> </font><font size="4">. En este caso <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»b«/mi»«mo»=«/mo»«mi»#x22«/mi»«/math»</span>. <br />Luego, aplicando </font><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mfenced»«mrow»«mi»a«/mi»«mo»+«/mo»«mi»b«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»a«/mi»«mo»-«/mo»«mi»b«/mi»«/mrow»«/mfenced»«/math»</span>, tenemos que:</font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><br /><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a1«/mi»«mo»-«/mo»«mi»#x2«/mi»«mo»=«/mo»«mfenced»«mrow»«mi»#a12«/mi»«mo»+«/mo»«mi»#x22«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mi»#a12«/mi»«mo»-«/mo»«mi»#x22«/mi»«/mrow»«/mfenced»«/math»</span><br /></font></div></div><style>&amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;lt;!-- /* Font Definitions */ @font-face {font-family:Arial; 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One or multiple answers?
Multiple answers allowed
One answer only
Shuffle the choices?
Number the choices?
a., b., c., ...
A., B., C., ...
1., 2., 3., ...
i., ii., iii., ...
I., II., III., ...
No numbering
WIRIS variables
Algorithm
Choice 1
Answer
#opa
Grade
None
100%
90%
83.33333%
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66.66667%
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33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
10%
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-66.66667%
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-80%
-83.33333%
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Feedback
<font size="4"><b id="internal-source-marker_0.41686268779449165" style="color: rgb(0, 0, 0); text-transform: none; text-indent: 0px; letter-spacing: normal; word-spacing: 0px; white-space: normal; orphans: 2; widows: 2;"><span style="color: rgb(0, 0, 0); font-size: 15px; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><font size="4"><span style="font-style: italic;">¡Excelente!</span></font><br /></span></b></font>
Choice 2
Answer
#opb
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
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-12.5%
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-16.66667%
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-66.66667%
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-90%
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Feedback
<font size="4" style="font-family: times new roman,times,serif;"><span style="font-style: italic;">Hay un problema con los signos, pues si desarrollas la expresión corroborarás que no da como resultado la expresión original.</span></font>
Choice 3
Answer
#opc
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
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-11.11111%
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-16.66667%
-20%
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-30%
-33.33333%
-40%
-50%
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-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<font size="4" style="font-family: times new roman,times,serif;"><span style="font-style: italic;">Hay un problema con los signos, pues si desarrollas la expresión corroborarás que no da como resultado la expresión original.</span></font>
Choice 4
Answer
#opd
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<font size="4" style="font-family: times new roman,times,serif;"><span style="font-style: italic;">Hay un problema con los exponentes de los términos, pues si desarrollas la expresión corroborarás que no da como resultado la expresión original.</span></font>
Choice 5
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 6
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 7
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
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Feedback
Combined feedback
For any correct response
For any partially correct response
Options
Show the number of correct responses once the question has finished
For any incorrect response
Settings for multiple tries
Penalty for each incorrect try
100%
50%
33.33333%
25%
20%
10%
0%
Hint 1
Hint text
Options
Clear incorrect responses
Show the number of correct responses
Hint 2
Hint text
Options
Clear incorrect responses
Show the number of correct responses
Created / last saved
Created
by
Admin User
on
Tuesday, 13 August 2013, 4:22 PM
Last saved
by
Admin User
on
Tuesday, 13 August 2013, 4:22 PM
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