document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132392>Question 132392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve (divide) this equation in factored form:\r<BR>\n" );
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document.write( "8a^2-6a-9/6a^2-5a-6/4a^2+11a+6/9a^2+12a+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96744 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=96744\">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=%28%288a%5E2-6a-9%29%2F%286a%5E2-5a-6%29%29%2F%28%284a%5E2%2B11a%2B6%29%2F%289a%5E2%2B12a%2B4%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%288a%5E2-6a-9%29%2F%286a%5E2-5a-6%29%29%2A%28%289a%5E2%2B12a%2B4%29%2F%284a%5E2%2B11a%2B6%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by the reciprocal of the second fraction\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%282a-3%29%284a%2B3%29%29%2F%286a%5E2-5a-6%29%29%28%289a%5E2%2B12a%2B4%29%2F%284a%5E2%2B11a%2B6%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8a%5E2-6a-9 ALIGN=MIDDLE  ALT=\"8a%5E2-6a-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282a-3%29%284a%2B3%29 ALIGN=MIDDLE  ALT=\"%282a-3%29%284a%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%282a-3%29%284a%2B3%29%29%2F%28%282a-3%29%283a%2B2%29%29%29%28%289a%5E2%2B12a%2B4%29%2F%284a%5E2%2B11a%2B6%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6a%5E2-5a-6 ALIGN=MIDDLE  ALT=\"6a%5E2-5a-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282a-3%29%283a%2B2%29 ALIGN=MIDDLE  ALT=\"%282a-3%29%283a%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%282a-3%29%284a%2B3%29%29%2F%28%282a-3%29%283a%2B2%29%29%29%28%28%283a%2B2%29%283a%2B2%29%29%2F%284a%5E2%2B11a%2B6%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9a%5E2%2B12a%2B4 ALIGN=MIDDLE  ALT=\"9a%5E2%2B12a%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a%2B2%29%283a%2B2%29 ALIGN=MIDDLE  ALT=\"%283a%2B2%29%283a%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%282a-3%29%284a%2B3%29%29%2F%28%282a-3%29%283a%2B2%29%29%29%28%28%283a%2B2%29%283a%2B2%29%29%2F%28%28a%2B2%29%284a%2B3%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=4a%5E2%2B11a%2B6 ALIGN=MIDDLE  ALT=\"4a%5E2%2B11a%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B2%29%284a%2B3%29 ALIGN=MIDDLE  ALT=\"%28a%2B2%29%284a%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=%282a-3%29%284a%2B3%29%283a%2B2%29%283a%2B2%29%2F%282a-3%29%283a%2B2%29%28a%2B2%29%284a%2B3%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=cross%28%282a-3%29%29cross%28%284a%2B3%29%29cross%28%283a%2B2%29%29%283a%2B2%29%2Fcross%28%282a-3%29%29cross%28%283a%2B2%29%29%28a%2B2%29cross%28%284a%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a%2B2%29%2F%28a%2B2%29 ALIGN=MIDDLE  ALT=\"%283a%2B2%29%2F%28a%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%288a%5E2-6a-9%29%2F%286a%5E2-5a-6%29%29%2F%28%284a%5E2%2B11a%2B6%29%2F%289a%5E2%2B12a%2B4%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=%283a%2B2%29%2F%28a%2B2%29 ALIGN=MIDDLE  ALT=\"%283a%2B2%29%2F%28a%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%288a%5E2-6a-9%29%2F%286a%5E2-5a-6%29%29%2F%28%284a%5E2%2B11a%2B6%29%2F%289a%5E2%2B12a%2B4%29%29=%283a%2B2%29%2F%28a%2B2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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