document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179786>Question 179786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 64+27x^3 factor completly </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134696 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "This is the sum of two cubes.  64 is 4 cubed (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4^3 = 64\">) and 27 is 3 cubed (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3^3 = 27\">).\r<BR>\n" );
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document.write( "The factorization of the sum and difference of two cubes is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x^3 \pm y^3 = (x \pm y)(x^2 \mp xy + y^2)\">\r<BR>\n" );
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document.write( "This is really easy to remember:  1st factor: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large ( x \text{  }\math y)\">  2nd factor <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (x^2 \text{  }\math xy \text{  }\math y^2)\">.  Then remember San Diego Padres = SDP = Same Different Plus to put in the signs.  So for  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x^3 + y^3 = (x + y)(x^2 - xy + y^2)\"> and for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x^3 - y^3 = (x - y)(x^2 + xy + y^2)\">\r<BR>\n" );
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document.write( "So for your problem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 64 + 27x^3 = 4^3 + (3x)^3 = (4 + 3x)(16 - 12x + 9x^2)\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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