document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167557>Question 167557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (X-2Y)^3 + (X+2Y)^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123643 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=123643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming that you want to factor \r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=x-2y ALIGN=MIDDLE  ALT=\"w=x-2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=x%2B2y ALIGN=MIDDLE  ALT=\"z=x%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2y%29%5E3+%2B+%28x%2B2y%29%5E3 ALIGN=MIDDLE  ALT=\"%28x-2y%29%5E3+%2B+%28x%2B2y%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > then becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E3+%2B+z%5E3 ALIGN=MIDDLE  ALT=\"w%5E3+%2B+z%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (through a simple substitution)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E3%2Bz%5E3 ALIGN=MIDDLE  ALT=\"w%5E3%2Bz%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%29%5E3%2B%28z%29%5E3 ALIGN=MIDDLE  ALT=\"%28w%29%5E3%2B%28z%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E3 ALIGN=MIDDLE  ALT=\"w%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%29%5E3 ALIGN=MIDDLE  ALT=\"%28w%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E3 ALIGN=MIDDLE  ALT=\"z%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%29%5E3 ALIGN=MIDDLE  ALT=\"%28z%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2Bz%29%28%28w%29%5E2-%28w%29%28z%29%2B%28z%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28w%2Bz%29%28%28w%29%5E2-%28w%29%28z%29%2B%28z%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now factor by using the sum of cubes formula. Remember the <a  rel=nofollow HREF=\"http://www.purplemath.com/modules/specfact2.htm\">sum of cubes formula</a> is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E3%2BB%5E3=%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 ALIGN=MIDDLE  ALT=\"A%5E3%2BB%5E3=%28A%2BB%29%28A%5E2-AB%2BB%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2Bz%29%28w%5E2-wz%2Bz%5E2%29 ALIGN=MIDDLE  ALT=\"%28w%2Bz%29%28w%5E2-wz%2Bz%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-2y%29%2B%28x%2B2y%29%29%28%28x-2y%29%5E2-%28x-2y%29%28x%2B2y%29%2B%28x%2B2y%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=x-2y ALIGN=MIDDLE  ALT=\"w=x-2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=x%2B2y ALIGN=MIDDLE  ALT=\"z=x%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-2y%29%2B%28x%2B2y%29%29%28%28x%5E2-4xy%2B4y%5E2%29-%28x%5E2-4y%5E2%29%2B%28x%5E2%2B4xy%2B4y%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2y%2Bx%2B2y%29%28x%5E2-4xy%2B4y%5E2-x%5E2%2B4y%5E2%2Bx%5E2%2B4xy%2B4y%5E2%29 ALIGN=MIDDLE  ALT=\"%28x-2y%2Bx%2B2y%29%28x%5E2-4xy%2B4y%5E2-x%5E2%2B4y%5E2%2Bx%5E2%2B4xy%2B4y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x%5E2%2B12y%5E2%29 ALIGN=MIDDLE  ALT=\"2x%28x%5E2%2B12y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2y%29%5E3+%2B+%28x%2B2y%29%5E3 ALIGN=MIDDLE  ALT=\"%28x-2y%29%5E3+%2B+%28x%2B2y%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x%5E2%2B12y%5E2%29 ALIGN=MIDDLE  ALT=\"2x%28x%5E2%2B12y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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