document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182028>Question 182028</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780136028956/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Factor using the formula for the sum or difference of two cubes:\r<BR>\n" );
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document.write( "27y^4+8y\r<BR>\n" );
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document.write( "Thanks for the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136628 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=136628\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27y%5E4%2B8y ALIGN=MIDDLE  ALT=\"27y%5E4%2B8y\"   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=y%2827y%5E3%2B8%29 ALIGN=MIDDLE  ALT=\"y%2827y%5E3%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's focus on the inner expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27y%5E3%2B8 ALIGN=MIDDLE  ALT=\"27y%5E3%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "------------------------------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27y%5E3%2B8 ALIGN=MIDDLE  ALT=\"27y%5E3%2B8\"   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=%283y%29%5E3%2B%282%29%5E3 ALIGN=MIDDLE  ALT=\"%283y%29%5E3%2B%282%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27y%5E3 ALIGN=MIDDLE  ALT=\"27y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%29%5E3 ALIGN=MIDDLE  ALT=\"%283y%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%5E3 ALIGN=MIDDLE  ALT=\"%282%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=%283y%2B2%29%28%283y%29%5E2-%283y%29%282%29%2B%282%29%5E2%29 ALIGN=MIDDLE  ALT=\"%283y%2B2%29%28%283y%29%5E2-%283y%29%282%29%2B%282%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=%283y%2B2%29%289y%5E2-6y%2B4%29 ALIGN=MIDDLE  ALT=\"%283y%2B2%29%289y%5E2-6y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27y%5E3%2B8 ALIGN=MIDDLE  ALT=\"27y%5E3%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B2%29%289y%5E2-6y%2B4%29 ALIGN=MIDDLE  ALT=\"%283y%2B2%29%289y%5E2-6y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27y%5E3%2B8=%283y%2B2%29%289y%5E2-6y%2B4%29 ALIGN=MIDDLE  ALT=\"27y%5E3%2B8=%283y%2B2%29%289y%5E2-6y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2827y%5E3%2B8%29 ALIGN=MIDDLE  ALT=\"y%2827y%5E3%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%283y%2B2%29%289y%5E2-6y%2B4%29 ALIGN=MIDDLE  ALT=\"y%283y%2B2%29%289y%5E2-6y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \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=27y%5E4%2B8y ALIGN=MIDDLE  ALT=\"27y%5E4%2B8y\"   DISABLED_style= \"max-width:90%; height:auto;\" > completely factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%283y%2B2%29%289y%5E2-6y%2B4%29 ALIGN=MIDDLE  ALT=\"y%283y%2B2%29%289y%5E2-6y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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