document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182026>Question 182026</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( "54-16y^3\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 #136631 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=136631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54-16y%5E3 ALIGN=MIDDLE  ALT=\"54-16y%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=2%2827-8y%5E3%29 ALIGN=MIDDLE  ALT=\"2%2827-8y%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   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=27-8y%5E3 ALIGN=MIDDLE  ALT=\"27-8y%5E3\"   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=27-8y%5E3 ALIGN=MIDDLE  ALT=\"27-8y%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=%283%29%5E3-%282y%29%5E3 ALIGN=MIDDLE  ALT=\"%283%29%5E3-%282y%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27 ALIGN=MIDDLE  ALT=\"27\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%5E3 ALIGN=MIDDLE  ALT=\"%283%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y%5E3 ALIGN=MIDDLE  ALT=\"8y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y%29%5E3 ALIGN=MIDDLE  ALT=\"%282y%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=%283-2y%29%28%283%29%5E2%2B%283%29%282y%29%2B%282y%29%5E2%29 ALIGN=MIDDLE  ALT=\"%283-2y%29%28%283%29%5E2%2B%283%29%282y%29%2B%282y%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now factor by using the difference of cubes formula. Remember the <a  rel=nofollow HREF=\"http://www.purplemath.com/modules/specfact2.htm\">difference of cubes formula</a> is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E3-B%5E3=%28A-B%29%28A%5E2%2BAB%2BB%5E2%29 ALIGN=MIDDLE  ALT=\"A%5E3-B%5E3=%28A-B%29%28A%5E2%2BAB%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=%283-2y%29%289%2B6y%2B4y%5E2%29 ALIGN=MIDDLE  ALT=\"%283-2y%29%289%2B6y%2B4y%5E2%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=27-8y%5E3 ALIGN=MIDDLE  ALT=\"27-8y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-2y%29%289%2B6y%2B4y%5E2%29 ALIGN=MIDDLE  ALT=\"%283-2y%29%289%2B6y%2B4y%5E2%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=27-8y%5E3=%283-2y%29%289%2B6y%2B4y%5E2%29 ALIGN=MIDDLE  ALT=\"27-8y%5E3=%283-2y%29%289%2B6y%2B4y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2827-8y%5E3%29 ALIGN=MIDDLE  ALT=\"2%2827-8y%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors further to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283-2y%29%289%2B6y%2B4y%5E2%29 ALIGN=MIDDLE  ALT=\"2%283-2y%29%289%2B6y%2B4y%5E2%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=54-16y%5E3 ALIGN=MIDDLE  ALT=\"54-16y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > completely factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283-2y%29%289%2B6y%2B4y%5E2%29 ALIGN=MIDDLE  ALT=\"2%283-2y%29%289%2B6y%2B4y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "     </SPAN>\n" );
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