document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145589>Question 145589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the expression<BR>\n" );
document.write( "12a^2+26a+12 / 6-5a-6a^2<BR>\n" );
document.write( "A) 2(6a^2+13a+6) / -(6a^2+5a-5)<BR>\n" );
document.write( "B)-2<BR>\n" );
document.write( "C)-2(3a+2) / (3a-2)<BR>\n" );
document.write( "D) 2(3a+2) / (3a-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106245 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=106245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812a%5E2%2B26a%2B12%29%2F%286-5a-6a%5E2%29 ALIGN=MIDDLE  ALT=\"%2812a%5E2%2B26a%2B12%29%2F%286-5a-6a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A%282%2Aa%2B3%29%2A%283%2Aa%2B2%29%29%2F%286-5a-6a%5E2%29 ALIGN=MIDDLE  ALT=\"%282%2A%282%2Aa%2B3%29%2A%283%2Aa%2B2%29%29%2F%286-5a-6a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12a%5E2%2B26a%2B12 ALIGN=MIDDLE  ALT=\"12a%5E2%2B26a%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%282%2Aa%2B3%29%2A%283%2Aa%2B2%29 ALIGN=MIDDLE  ALT=\"2%2A%282%2Aa%2B3%29%2A%283%2Aa%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A%282%2Aa%2B3%29%2A%283%2Aa%2B2%29%29%2F%28-%282%2Aa%2B3%29%2A%283%2Aa-2%29%29 ALIGN=MIDDLE  ALT=\"%282%2A%282%2Aa%2B3%29%2A%283%2Aa%2B2%29%29%2F%28-%282%2Aa%2B3%29%2A%283%2Aa-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-5a-6a%5E2 ALIGN=MIDDLE  ALT=\"6-5a-6a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%282%2Aa%2B3%29%2A%283%2Aa-2%29 ALIGN=MIDDLE  ALT=\"-%282%2Aa%2B3%29%2A%283%2Aa-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28%282%29highlight%282%2Aa%2B3%29%283%2Aa%2B2%29%29%2F%28highlight%282%2Aa%2B3%29%283%2Aa-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28%282%29cross%282%2Aa%2B3%29%283%2Aa%2B2%29%29%2F%28cross%282%2Aa%2B3%29%283%2Aa-2%29%29 ALIGN=MIDDLE  ALT=\"-%28%282%29cross%282%2Aa%2B3%29%283%2Aa%2B2%29%29%2F%28cross%282%2Aa%2B3%29%283%2Aa-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%282%283%2Aa%2B2%29%29%2F%28%283%2Aa-2%29%29 ALIGN=MIDDLE  ALT=\"-%282%283%2Aa%2B2%29%29%2F%28%283%2Aa-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812a%5E2%2B26a%2B12%29%2F%286-5a-6a%5E2%29 ALIGN=MIDDLE  ALT=\"%2812a%5E2%2B26a%2B12%29%2F%286-5a-6a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%282%283%2Aa%2B2%29%29%2F%28%283%2Aa-2%29%29 ALIGN=MIDDLE  ALT=\"-%282%283%2Aa%2B2%29%29%2F%28%283%2Aa-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812a%5E2%2B26a%2B12%29%2F%286-5a-6a%5E2%29=-%282%283%2Aa%2B2%29%29%2F%28%283%2Aa-2%29%29 ALIGN=MIDDLE  ALT=\"%2812a%5E2%2B26a%2B12%29%2F%286-5a-6a%5E2%29=-%282%283%2Aa%2B2%29%29%2F%28%283%2Aa-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E-3%2F2 ALIGN=MIDDLE  ALT=\"a%3C%3E-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E2%2F3 ALIGN=MIDDLE  ALT=\"a%3C%3E2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the answer is choice C </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );