document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168527>Question 168527</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> We need to simplify this equation\r<BR>\n" );
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document.write( "3a^2-9a-12/6a^2+30a+24\r<BR>\n" );
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document.write( "My work:  (3a-3)(a-4)<BR>\n" );
document.write( "      I am stuck on this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124202 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=124202\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a%5E2-9a-12%29%2F%286a%5E2%2B30a%2B24%29 ALIGN=MIDDLE  ALT=\"%283a%5E2-9a-12%29%2F%286a%5E2%2B30a%2B24%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=%283%28a-4%29%28a%2B1%29%29%2F%286a%5E2%2B30a%2B24%29 ALIGN=MIDDLE  ALT=\"%283%28a-4%29%28a%2B1%29%29%2F%286a%5E2%2B30a%2B24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28a-4%29%28a%2B1%29%29%2F%286%28a%2B4%29%28a%2B1%29%29 ALIGN=MIDDLE  ALT=\"%283%28a-4%29%28a%2B1%29%29%2F%286%28a%2B4%29%28a%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28a-4%29highlight%28%28a%2B1%29%29%29%2F%286%28a%2B4%29highlight%28%28a%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"%283%28a-4%29highlight%28%28a%2B1%29%29%29%2F%286%28a%2B4%29highlight%28%28a%2B1%29%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=%283%28a-4%29cross%28%28a%2B1%29%29%29%2F%286%28a%2B4%29cross%28%28a%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"%283%28a-4%29cross%28%28a%2B1%29%29%29%2F%286%28a%2B4%29cross%28%28a%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28a-4%29%29%2F%286%28a%2B4%29%29 ALIGN=MIDDLE  ALT=\"%283%28a-4%29%29%2F%286%28a%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-4%29%2F%282%28a%2B4%29%29 ALIGN=MIDDLE  ALT=\"%28a-4%29%2F%282%28a%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-4%29%2F%282a%2B8%29 ALIGN=MIDDLE  ALT=\"%28a-4%29%2F%282a%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a%5E2-9a-12%29%2F%286a%5E2%2B30a%2B24%29 ALIGN=MIDDLE  ALT=\"%283a%5E2-9a-12%29%2F%286a%5E2%2B30a%2B24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-4%29%2F%282a%2B8%29 ALIGN=MIDDLE  ALT=\"%28a-4%29%2F%282a%2B8%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=%283a%5E2-9a-12%29%2F%286a%5E2%2B30a%2B24%29=%28a-4%29%2F%282a%2B8%29 ALIGN=MIDDLE  ALT=\"%283a%5E2-9a-12%29%2F%286a%5E2%2B30a%2B24%29=%28a-4%29%2F%282a%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E-4 ALIGN=MIDDLE  ALT=\"a%3C%3E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E-1 ALIGN=MIDDLE  ALT=\"a%3C%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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