document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203065>Question 203065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (n^2+5n+6/n^2+7n+12)(n^2+9n+20/n^2+11n+30)= ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153181 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=153181\">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=%28%28n%5E2%2B5n%2B6%29%2F%28n%5E2%2B7n%2B12%29%29%28%28n%5E2%2B9n%2B20%29%2F%28n%5E2%2B11n%2B30%29%29 ALIGN=MIDDLE   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=%28%28%28n%2B3%29%28n%2B2%29%29%2F%28n%5E2%2B7n%2B12%29%29%28%28n%5E2%2B9n%2B20%29%2F%28n%5E2%2B11n%2B30%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B5n%2B6 ALIGN=MIDDLE  ALT=\"n%5E2%2B5n%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B3%29%28n%2B2%29 ALIGN=MIDDLE  ALT=\"%28n%2B3%29%28n%2B2%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%28%28n%2B3%29%28n%2B2%29%29%2F%28%28n%2B4%29%28n%2B3%29%29%29%28%28n%5E2%2B9n%2B20%29%2F%28n%5E2%2B11n%2B30%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B7n%2B12 ALIGN=MIDDLE  ALT=\"n%5E2%2B7n%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B4%29%28n%2B3%29 ALIGN=MIDDLE  ALT=\"%28n%2B4%29%28n%2B3%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%28%28n%2B3%29%28n%2B2%29%29%2F%28%28n%2B4%29%28n%2B3%29%29%29%28%28%28n%2B5%29%28n%2B4%29%29%2F%28n%5E2%2B11n%2B30%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B9n%2B20 ALIGN=MIDDLE  ALT=\"n%5E2%2B9n%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B5%29%28n%2B4%29 ALIGN=MIDDLE  ALT=\"%28n%2B5%29%28n%2B4%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%28%28n%2B3%29%28n%2B2%29%29%2F%28%28n%2B4%29%28n%2B3%29%29%29%28%28%28n%2B5%29%28n%2B4%29%29%2F%28%28n%2B6%29%28n%2B5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B11n%2B30 ALIGN=MIDDLE  ALT=\"n%5E2%2B11n%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B6%29%28n%2B5%29 ALIGN=MIDDLE  ALT=\"%28n%2B6%29%28n%2B5%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%2B3%29%28n%2B2%29%28n%2B5%29%28n%2B4%29%29%2F%28%28n%2B4%29%28n%2B3%29%28n%2B6%29%28n%2B5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28%28n%2B3%29%29%28n%2B2%29highlight%28%28n%2B5%29%29highlight%28%28n%2B4%29%29%29%2F%28highlight%28%28n%2B4%29%29highlight%28%28n%2B3%29%29%28n%2B6%29highlight%28%28n%2B5%29%29%29 ALIGN=MIDDLE   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%2B3%29%29%28n%2B2%29cross%28%28n%2B5%29%29cross%28%28n%2B4%29%29%29%2F%28cross%28%28n%2B4%29%29cross%28%28n%2B3%29%29%28n%2B6%29cross%28%28n%2B5%29%29%29 ALIGN=MIDDLE   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=%28n%2B2%29%2F%28n%2B6%29 ALIGN=MIDDLE  ALT=\"%28n%2B2%29%2F%28n%2B6%29\"   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=%28%28n%5E2%2B5n%2B6%29%2F%28n%5E2%2B7n%2B12%29%29%28%28n%5E2%2B9n%2B20%29%2F%28n%5E2%2B11n%2B30%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B2%29%2F%28n%2B6%29 ALIGN=MIDDLE  ALT=\"%28n%2B2%29%2F%28n%2B6%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=%28%28n%5E2%2B5n%2B6%29%2F%28n%5E2%2B7n%2B12%29%29%28%28n%5E2%2B9n%2B20%29%2F%28n%5E2%2B11n%2B30%29%29=%28n%2B2%29%2F%28n%2B6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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