document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166349>Question 166349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to know if I can further factor this expression of <BR>\n" );
document.write( "27x^3y^3-125  (3xy-5) (9x^2y^2-15xy+25) can you advise me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122611 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=122611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are you trying to factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27x%5E3y%5E3-125 ALIGN=MIDDLE  ALT=\"27x%5E3y%5E3-125\"   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=27x%5E3y%5E3-125 ALIGN=MIDDLE  ALT=\"27x%5E3y%5E3-125\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283xy%29%5E3-%285%29%5E3 ALIGN=MIDDLE  ALT=\"%283xy%29%5E3-%285%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27x%5E3y%5E3 ALIGN=MIDDLE  ALT=\"27x%5E3y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283xy%29%5E3 ALIGN=MIDDLE  ALT=\"%283xy%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125 ALIGN=MIDDLE  ALT=\"125\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%5E3 ALIGN=MIDDLE  ALT=\"%285%29%5E3\"   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=A%5E3-B%5E3=%28A-B%29%28A%5E2%2BAB%2BB%5E2%29 ALIGN=MIDDLE  ALT=\"A%5E3-B%5E3=%28A-B%29%28A%5E2%2BAB%2BB%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with <a  rel=nofollow HREF=\"http://www.purplemath.com/modules/specfact2.htm\">Difference of Cubes Formula</a>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283xy%29%5E3-%285%29%5E3=%283xy-5%29%28%283xy%29%5E2%2B%283xy%29%285%29%2B5%5E2%29 ALIGN=MIDDLE  ALT=\"%283xy%29%5E3-%285%29%5E3=%283xy-5%29%28%283xy%29%5E2%2B%283xy%29%285%29%2B5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=3xy ALIGN=MIDDLE  ALT=\"A=3xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=5 ALIGN=MIDDLE  ALT=\"B=5\"   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=%283xy%29%5E3-%285%29%5E3=%283xy-5%29%289x%5E2y%5E2%2B%283xy%29%285%29%2B25%29 ALIGN=MIDDLE  ALT=\"%283xy%29%5E3-%285%29%5E3=%283xy-5%29%289x%5E2y%5E2%2B%283xy%29%285%29%2B25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square the values\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283xy%29%5E3-%285%29%5E3=%283xy-5%29%289x%5E2y%5E2%2B15xy%2B25%29 ALIGN=MIDDLE  ALT=\"%283xy%29%5E3-%285%29%5E3=%283xy-5%29%289x%5E2y%5E2%2B15xy%2B25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27x%5E3y%5E3-125 ALIGN=MIDDLE  ALT=\"27x%5E3y%5E3-125\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283xy-5%29%289x%5E2y%5E2%2B15xy%2B25%29 ALIGN=MIDDLE  ALT=\"%283xy-5%29%289x%5E2y%5E2%2B15xy%2B25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So the only mistake you made was the sign of the middle term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15xy ALIGN=MIDDLE  ALT=\"15xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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