document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165067>Question 165067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to factor 27x^3 - 8y^3 using the difference of two cubes method </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121660 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=121660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This site gives you a better insight:<BR>\n" );
document.write( "http://www.purplemath.com/modules/specfact2.htm<BR>\n" );
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document.write( "27x^3 - 8y^3<BR>\n" );
document.write( "(3*3*3)x^3 - (2*2*2)y^3<BR>\n" );
document.write( "3^3x^3 - 2^3y^3<BR>\n" );
document.write( "(3x)^3 - (2y)^3<BR>\n" );
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document.write( "This is a \"special case\" of the \"difference of two cubes\".<BR>\n" );
document.write( "a^3 – b^3 = (a – b)(a^2 + ab + b^2) <BR>\n" );
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document.write( "Our 'a' = 3x<BR>\n" );
document.write( "and 'b' = 2y<BR>\n" );
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document.write( "Therefore:<BR>\n" );
document.write( "27x^3 - 8y^3 = (a – b)(a^2 + ab + b^2) <BR>\n" );
document.write( "27x^3 - 8y^3 = (3x – 2y)((3x)^2 + (3x)(2y) + (2y)^2) <BR>\n" );
document.write( "27x^3 - 8y^3 = (3x – 2y)(9x^2 + 6xy + 4y^2) <BR>\n" );
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