document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152643>Question 152643</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>Algebra structure and method book 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> can you please help me with: (((n(3)-27 over n-3))) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112202 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=112202\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E3-27 ALIGN=MIDDLE  ALT=\"n%5E3-27\"   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=n%5E3-27 ALIGN=MIDDLE  ALT=\"n%5E3-27\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%29%5E3-%283%29%5E3 ALIGN=MIDDLE  ALT=\"%28n%29%5E3-%283%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E3 ALIGN=MIDDLE  ALT=\"n%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%29%5E3 ALIGN=MIDDLE  ALT=\"%28n%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;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-3%29%28%28n%29%5E2%2B%28n%29%283%29%2B%283%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28n-3%29%28%28n%29%5E2%2B%28n%29%283%29%2B%283%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=%28n-3%29%28n%5E2%2B3n%2B9%29 ALIGN=MIDDLE  ALT=\"%28n-3%29%28n%5E2%2B3n%2B9%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=n%5E3-27 ALIGN=MIDDLE  ALT=\"n%5E3-27\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-3%29%28n%5E2%2B3n%2B9%29 ALIGN=MIDDLE  ALT=\"%28n-3%29%28n%5E2%2B3n%2B9%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=n%5E3-27=%28n-3%29%28n%5E2%2B3n%2B9%29 ALIGN=MIDDLE  ALT=\"n%5E3-27=%28n-3%29%28n%5E2%2B3n%2B9%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=%28n%5E3-27%29%2F%28n-3%29 ALIGN=MIDDLE  ALT=\"%28n%5E3-27%29%2F%28n-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > transforms into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n-3%29%28n%5E2%2B3n%2B9%29%29%2F%28n-3%29 ALIGN=MIDDLE  ALT=\"%28%28n-3%29%28n%5E2%2B3n%2B9%29%29%2F%28n-3%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=%28%28n-3%29%28n%5E2%2B3n%2B9%29%29%2F%28n-3%29 ALIGN=MIDDLE  ALT=\"%28%28n-3%29%28n%5E2%2B3n%2B9%29%29%2F%28n-3%29\"   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=%28highlight%28%28n-3%29%29%28n%5E2%2B3n%2B9%29%29%2Fhighlight%28%28n-3%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28%28n-3%29%29%28n%5E2%2B3n%2B9%29%29%2Fhighlight%28%28n-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28n-3%29%29%28n%5E2%2B3n%2B9%29%29%2Fcross%28%28n-3%29%29 ALIGN=MIDDLE  ALT=\"%28cross%28%28n-3%29%29%28n%5E2%2B3n%2B9%29%29%2Fcross%28%28n-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B3n%2B9 ALIGN=MIDDLE  ALT=\"n%5E2%2B3n%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%5E3-27%29%2F%28n-3%29 ALIGN=MIDDLE  ALT=\"%28n%5E3-27%29%2F%28n-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B3n%2B9 ALIGN=MIDDLE  ALT=\"n%5E2%2B3n%2B9\"   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=%28n%5E3-27%29%2F%28n-3%29=n%5E2%2B3n%2B9 ALIGN=MIDDLE  ALT=\"%28n%5E3-27%29%2F%28n-3%29=n%5E2%2B3n%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E3 ALIGN=MIDDLE  ALT=\"x%3C%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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