document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204279>Question 204279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me factor this problem completely?\r<BR>\n" );
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document.write( "3b^3-81d^3\r<BR>\n" );
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document.write( "Thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154226 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=154226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor completely:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3b%5E3-81d%5E3 ALIGN=MIDDLE  ALT=\"3b%5E3-81d%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > First, factor out a 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28b%5E3-27d%5E3%29 ALIGN=MIDDLE  ALT=\"3%28b%5E3-27d%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now do you see that the parentheses contain the difference of two cubes?<BR>\n" );
document.write( "The difference of two cubes can be factored thus:<BR>\n" );
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;\" > Applying this to the group in the parentheses, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283%28b-3d%29%28b%5E2%2B3bd%2B9d%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%283%28b-3d%29%28b%5E2%2B3bd%2B9d%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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