document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=552067>Question 552067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question #1 \r<BR>\n" );
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document.write( "The expression is:  u^2-12u+___\r<BR>\n" );
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document.write( "The challenge is to \"Fill in the expression to make a perfect sqare\" \r<BR>\n" );
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document.write( "Can you help me?<BR>\n" );
document.write( "(the ^ is for the power) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360085 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=360085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">When you are making perfect squares,<br>\r<BR>\n" );
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document.write( "the easy way is just to take HALF of the value of the middle term,<br>\r<BR>\n" );
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document.write( "and then square it.<br>\r<BR>\n" );
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document.write( "Half of -12 is -6.<br>\r<BR>\n" );
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document.write( "-6 squared is 36.<br>\r<BR>\n" );
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document.write( "The expression should then be:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2-12u%2B36 ALIGN=MIDDLE  ALT=\"u%5E2-12u%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "And if we continue, then we can see that this can be factored as:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u-6%29%28u-6%29 ALIGN=MIDDLE  ALT=\"%28u-6%29%28u-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "or even more simply written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u-6%29%5E2 ALIGN=MIDDLE  ALT=\"%28u-6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "which is WHY we do this.  :)<br>\r<BR>\n" );
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document.write( "Of course, this only works when the coefficient for the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > term is 1, so be careful when trying this with trickier expressions.<br>\r<BR>\n" );
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document.write( "There's a LOT more to it, but this is the basic info you need to answer the question.<br>\r<BR>\n" );
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document.write( "I hope this helps!  :)<br>\r<BR>\n" );
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document.write( "Email Scott: neatmath@yahoo.com for help with specific problems,<br>\r<BR>\n" );
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document.write( "or to inquire about mathematics tutoring via email or other methods.<br>\r<BR>\n" );
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document.write( "Paypal is always accepted for single problems or for more intensive tutoring!<br>\r<BR>\n" );
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document.write( "Single problems would range from 50 cents to 5 dollars each, depending on the complexity.<br><br> </SPAN>\n" );
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