document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227530>Question 227530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,  I am stuck on factoring 1331c^3 + 512d^3<BR>\n" );
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document.write( "I started with cube roots 11 and 8\r<BR>\n" );
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document.write( "(11c+8d)(11c^2-(11c)(8d)+8d^2)\r<BR>\n" );
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document.write( "This is where I get stuck.  \r<BR>\n" );
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document.write( "Thanks in advance for any help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169046 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=169046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The reason you're stuck is that you're finished (except to simplify the second factor)!<br><BR>\n" );
document.write( "Whenever you factor you should start by factoring out the Greatest Common Factor (GCF) if it is not a 1. As long as you do this, the second factor of the Sum (or Difference) of Cubes pattern is inherently unfactorable. In other words, as long as the GCF has been taken care of, there is never a point in trying to factor the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+ab+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+-+ab+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > factor. (If you don't believe me, try to factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+ab+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+-+ab+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >! You won't succeed unless you use irrational numbers.)<br><BR>\n" );
document.write( "Your GCF is 1 so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1331c%5E3+%2B+512d%5E3+=+%2811c%29%5E3+%2B+%288d%29%5E3+=+%2811c+%2B+8d%29%28%2811c%29%5E2+-+%2811c%29%288d%29+%2B+%288d%29%5E2%29+=+%2811c+%2B+8d%29%28121c%5E2+-+88cd+%2B+64d%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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