document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174644>Question 174644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8m^3 + 27/ 2m+3\r<BR>\n" );
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document.write( "answer:4m^2-6m+9 \r<BR>\n" );
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document.write( "need a full break down of how my book got this answer i  know how they got 4m^2 and +9  but still lost as to how they got the -6m  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129667 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129667\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In this problem, you need to factor the numerator by applying the special factor condition known as the \"sum of cubes\".  For a complete explanation see:<BR>\n" );
document.write( "http://www.purplemath.com/modules/specfact2.htm<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288m%5E3+%2B+27%29%2F%282m%2B3%29 ALIGN=MIDDLE  ALT=\"%288m%5E3+%2B+27%29%2F%282m%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is equivalent to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282m%29%5E3+%2B+%283%29%5E3%29%2F%282m%2B3%29 ALIGN=MIDDLE  ALT=\"%28%282m%29%5E3+%2B+%283%29%5E3%29%2F%282m%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now, we can apply the \"sum of cubes\" rule of:<BR>\n" );
document.write( "a^3 + b^3 = (a + b)(a^2 – ab + b^2) <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282m%2B3%29%28%282m%29%5E2-%282m%29%283%29%2B%283%29%5E2%29%2F%282m%2B3%29 ALIGN=MIDDLE  ALT=\"%282m%2B3%29%28%282m%29%5E2-%282m%29%283%29%2B%283%29%5E2%29%2F%282m%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The (2m+3) cancels leaving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282m%29%5E2-%282m%29%283%29%2B%283%29%5E2 ALIGN=MIDDLE  ALT=\"%282m%29%5E2-%282m%29%283%29%2B%283%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Expanding:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4m%5E2-6m%2B9 ALIGN=MIDDLE  ALT=\"4m%5E2-6m%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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