document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218846>Question 218846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor 27x3 + 125\r<BR>\n" );
document.write( "\n" );
document.write( "sum of cubes </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164738 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rewrite this as (3x)^3 +5^3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There will be TWO factors.  The first will always be a BINOMIAL and the second factor will always be a TRINOMIAL.  The answer to the problem turns out to be\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " (3x+5)(9x^2 - 15x+25). \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To help explain how this is done, think of the sum of two cubes as\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(FIRST)^3 + (SECOND)^3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The BINOMIAL factor is the SUM of the FIRST (in this case 3x) and the SECOND (in this case 5):\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "BINOMIAL FACTOR=(First + Second), in this case (3x+5)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, the TRINOMIAL factor is like this:<BR>\n" );
document.write( "(First^2 - Product of First * Second + Second^2).<BR>\n" );
document.write( "( (3x)^2 - (3x)*5 + 5^2)<BR>\n" );
document.write( "(9x^2 - 15x + 25)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For more detailed explanation with lots of examples, exercises, and solutions, see my own website:.  Do a \"Bing\" search for my last name \"Rapalje\".  Look for \"Rapalje Homepage\" at the top of this search.  Look near the top of my Homepage for \"Basic, Intermediate and College Algebra: One Step at a Time\", click on \"Intermediate Algebra\" and look in Chapter 2 for the topic \"Factoring Sum and Difference of Cubes\".  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );