document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252593>Question 252593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x+6 over 4x+12 DIVIDED BY x^2-4 over x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184593 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=184593\">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=%28%283x%2B6%29%2F%284x%2B12%29%29%2F%28%28x%5E2-4%29%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%283x%2B6%29%2F%284x%2B12%29%29%2F%28%28x%5E2-4%29%2F%28x%2B3%29%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=%28%283x%2B6%29%2F%284x%2B12%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%283x%2B6%29%2F%284x%2B12%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B6%29%2F%284x%2B12%29 ALIGN=MIDDLE  ALT=\"%283x%2B6%29%2F%284x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the reciprocal of the second fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-4%29%2F%28x%2B3%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%283%28x%2B2%29%29%2F%284x%2B12%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%283%28x%2B2%29%29%2F%284x%2B12%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B6 ALIGN=MIDDLE  ALT=\"3x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B2%29 ALIGN=MIDDLE  ALT=\"3%28x%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=%28%283%28x%2B2%29%29%2F%284%28x%2B3%29%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%283%28x%2B2%29%29%2F%284%28x%2B3%29%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B12 ALIGN=MIDDLE  ALT=\"4x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%2B3%29 ALIGN=MIDDLE  ALT=\"4%28x%2B3%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%283%28x%2B2%29%29%2F%284%28x%2B3%29%29%29%28%28x%2B3%29%2F%28%28x-2%29%28x%2B2%29%29%29 ALIGN=MIDDLE  ALT=\"%28%283%28x%2B2%29%29%2F%284%28x%2B3%29%29%29%28%28x%2B3%29%2F%28%28x-2%29%28x%2B2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4 ALIGN=MIDDLE  ALT=\"x%5E2-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2A%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2A%28x%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=%283%28x%2B2%29%28x%2B3%29%29%2F%284%28x%2B3%29%28x-2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%283%28x%2B2%29%28x%2B3%29%29%2F%284%28x%2B3%29%28x-2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. \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=%283%2Ahighlight%28%28x%2B2%29%29highlight%28%28x%2B3%29%29%29%2F%284%2Ahighlight%28%28x%2B3%29%29%28x-2%29highlight%28%28x%2B2%29%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=%283%2Across%28%28x%2B2%29%29cross%28%28x%2B3%29%29%29%2F%284%2Across%28%28x%2B3%29%29%28x-2%29cross%28%28x%2B2%29%29%29 ALIGN=MIDDLE   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=3%2F%284%28x-2%29%29 ALIGN=MIDDLE  ALT=\"3%2F%284%28x-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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%284x-8%29 ALIGN=MIDDLE  ALT=\"3%2F%284x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\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=%28%283x%2B6%29%2F%284x%2B12%29%29%2F%28%28x%5E2-4%29%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%283x%2B6%29%2F%284x%2B12%29%29%2F%28%28x%5E2-4%29%2F%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%284x-8%29 ALIGN=MIDDLE  ALT=\"3%2F%284x-8%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=%28%283x%2B6%29%2F%284x%2B12%29%29%2F%28%28x%5E2-4%29%2F%28x%2B3%29%29=3%2F%284x-8%29 ALIGN=MIDDLE  ALT=\"%28%283x%2B6%29%2F%284x%2B12%29%29%2F%28%28x%5E2-4%29%2F%28x%2B3%29%29=3%2F%284x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );