document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=586082>Question 586082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! please help me factor this polynomial completely : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E5%2B216n%5E2 ALIGN=MIDDLE  ALT=\"n%5E5%2B216n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "i know how to solve it up to the part <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%28n%5E3%2B216%29 ALIGN=MIDDLE  ALT=\"n%5E2%28n%5E3%2B216%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > but i do not know how to factor it completely \r<BR>\n" );
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document.write( "Thanks!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373605 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=373605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how you factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E3%2B216 ALIGN=MIDDLE  ALT=\"n%5E3%2B216\"   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%2B216 ALIGN=MIDDLE  ALT=\"n%5E3%2B216\"   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=%28n%29%5E3%2B%286%29%5E3 ALIGN=MIDDLE  ALT=\"%28n%29%5E3%2B%286%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=216 ALIGN=MIDDLE  ALT=\"216\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%29%5E3 ALIGN=MIDDLE  ALT=\"%286%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%2B6%29%28%28n%29%5E2-%28n%29%286%29%2B%286%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28n%2B6%29%28%28n%29%5E2-%28n%29%286%29%2B%286%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=%28n%2B6%29%28n%5E2-6n%2B36%29 ALIGN=MIDDLE  ALT=\"%28n%2B6%29%28n%5E2-6n%2B36%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%2B216 ALIGN=MIDDLE  ALT=\"n%5E3%2B216\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B6%29%28n%5E2-6n%2B36%29 ALIGN=MIDDLE  ALT=\"%28n%2B6%29%28n%5E2-6n%2B36%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%2B216=%28n%2B6%29%28n%5E2-6n%2B36%29 ALIGN=MIDDLE  ALT=\"n%5E3%2B216=%28n%2B6%29%28n%5E2-6n%2B36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E5%2B216n%5E2 ALIGN=MIDDLE  ALT=\"n%5E5%2B216n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > completely factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%28n%2B6%29%28n%5E2-6n%2B36%29 ALIGN=MIDDLE  ALT=\"n%5E2%28n%2B6%29%28n%5E2-6n%2B36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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