document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36459>Question 36459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> m^2-16                    8-2m<BR>\n" );
document.write( "__________   divide by   ________ <BR>\n" );
document.write( "m^2-6m+9                  m-4m-12\r<BR>\n" );
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document.write( "show work\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22388 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hey, hey!!  You wrote this one so I can see it!!  Good job.  Here is the equation in an algebra.com equation box:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28m%5E2-16%29%2F%28m%5E2-6m%2B9%29%29 ALIGN=MIDDLE  ALT=\"+%28%28m%5E2-16%29%2F%28m%5E2-6m%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > divided by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%288-2m%29%2F%28m%5E2-4m-12%29%29+ ALIGN=MIDDLE  ALT=\"+%28%288-2m%29%2F%28m%5E2-4m-12%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Of course, your first step is to FACTOR everything that can be factored, and invert the second number and multiply:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28%28m-4%29%2A%28m%2B4%29%29%2F%28%28m-3%29%2A%28m-3%29%29%29 ALIGN=MIDDLE  ALT=\"+%28%28%28m-4%29%2A%28m%2B4%29%29%2F%28%28m-3%29%2A%28m-3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28%28m-6%29%2A%28m%2B2%29%29%2F%282%2A%284-m%29%29%29+ ALIGN=MIDDLE  ALT=\"+%28%28%28m-6%29%2A%28m%2B2%29%29%2F%282%2A%284-m%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It is indeed strange that not much divides out here.  In fact, NOTHING matches up exactly, but there is a factor of (m-4) in the first numerator, and a factor of (4-m) in the second denominator that are NEGATIVES of one another.  When you divide a number by its negative, the result is always a factor of -1.  So these two factors divide out, leaving a factor of -1.  It is preferred to place this -1 factor in the numerator, so the final answer is this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-1%2A%28m%2B4%29%2A%28m-6%29%2A%28m%2B2%29%29%2F%282%2A+%28m-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"+%28-1%2A%28m%2B4%29%2A%28m-6%29%2A%28m%2B2%29%29%2F%282%2A+%28m-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC<BR>\n" );
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