document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903823>Question 903823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I factor this?<BR>\n" );
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document.write( "The answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m-6n%29%28m%2B6n%29%28m%5E2-2n%5E2%29 ALIGN=MIDDLE  ALT=\"%28m-6n%29%28m%2B6n%29%28m%5E2-2n%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'm confused on how they got this answer. The 38 is not a typo, either.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548315 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=548315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E4-38m%5E2n%5E2%2B72n%5E4 ALIGN=MIDDLE  ALT=\"m%5E4-38m%5E2n%5E2%2B72n%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E4-2m%5E2n%5E2-36m%5E2n%5E2%2B72n%5E4 ALIGN=MIDDLE  ALT=\"m%5E4-2m%5E2n%5E2-36m%5E2n%5E2%2B72n%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-38m%5E2n%5E2 ALIGN=MIDDLE  ALT=\"-38m%5E2n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2m%5E2n%5E2-36m%5E2n%5E2 ALIGN=MIDDLE  ALT=\"-2m%5E2n%5E2-36m%5E2n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (see note below)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m%5E4-2m%5E2n%5E2%29%2B%28-36m%5E2n%5E2%2B72n%5E4%29 ALIGN=MIDDLE  ALT=\"%28m%5E4-2m%5E2n%5E2%29%2B%28-36m%5E2n%5E2%2B72n%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pair up the terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2%28m%5E2-2n%5E2%29%2B%28-36m%5E2n%5E2%2B72n%5E4%29 ALIGN=MIDDLE  ALT=\"m%5E2%28m%5E2-2n%5E2%29%2B%28-36m%5E2n%5E2%2B72n%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2 ALIGN=MIDDLE  ALT=\"m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the first group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2%28m%5E2-2n%5E2%29-36n%5E2%28m%5E2-2n%5E2%29 ALIGN=MIDDLE  ALT=\"m%5E2%28m%5E2-2n%5E2%29-36n%5E2%28m%5E2-2n%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-36n%5E2 ALIGN=MIDDLE  ALT=\"-36n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the second group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m%5E2-36n%5E2%29%28m%5E2-2n%5E2%29 ALIGN=MIDDLE  ALT=\"%28m%5E2-36n%5E2%29%28m%5E2-2n%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the overall GCF\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m-6n%29%28m%2B6n%29%28m%5E2-2n%5E2%29 ALIGN=MIDDLE  ALT=\"%28m-6n%29%28m%2B6n%29%28m%5E2-2n%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2-36n%5E2 ALIGN=MIDDLE  ALT=\"m%5E2-36n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (difference of squares rule)\r<BR>\n" );
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document.write( "Note: the last coefficient is 72. We need to find factors of 72 that add to -38. Put another way, we need to find two numbers that multiply to 72 AND add to -38. Those two numbers are -2 and -36. That explains how I broke up <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-38m%5E2n%5E2 ALIGN=MIDDLE  ALT=\"-38m%5E2n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2m%5E2n%5E2-36m%5E2n%5E2 ALIGN=MIDDLE  ALT=\"-2m%5E2n%5E2-36m%5E2n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (notice the coefficients) </SPAN>\n" );
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