document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145591>Question 145591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations and simplify the following expression:<BR>\n" );
document.write( "x+6/x^2-16 * 3x-12/3x+18<BR>\n" );
document.write( "A) 0<BR>\n" );
document.write( "B) 3 / 3(x+4)<BR>\n" );
document.write( "C) 1/x+4<BR>\n" );
document.write( "D) -1/x+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106244 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=106244\">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%28x%2B6%29%2F%28x%5E2-16%29%29%28%283x-12%29%2F%283x%2B18%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%2F%28x%5E2-16%29%29%28%283x-12%29%2F%283x%2B18%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( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B6%29%2F%28%28x-4%29%2A%28x%2B4%29%29%29%28%283x-12%29%2F%283x%2B18%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%2F%28%28x-4%29%2A%28x%2B4%29%29%29%28%283x-12%29%2F%283x%2B18%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-16 ALIGN=MIDDLE  ALT=\"x%5E2-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%2A%28x%2B4%29 ALIGN=MIDDLE  ALT=\"%28x-4%29%2A%28x%2B4%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%28x%2B6%29%2F%28%28x-4%29%2A%28x%2B4%29%29%29%28%283%28x-4%29%29%2F%283x%2B18%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%2F%28%28x-4%29%2A%28x%2B4%29%29%29%28%283%28x-4%29%29%2F%283x%2B18%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-12 ALIGN=MIDDLE  ALT=\"3x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-4%29 ALIGN=MIDDLE  ALT=\"3%28x-4%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%28x%2B6%29%2F%28%28x-4%29%2A%28x%2B4%29%29%29%28%283%28x-4%29%29%2F%283%28x%2B6%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%2F%28%28x-4%29%2A%28x%2B4%29%29%29%28%283%28x-4%29%29%2F%283%28x%2B6%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B18 ALIGN=MIDDLE  ALT=\"3x%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B6%29 ALIGN=MIDDLE  ALT=\"3%28x%2B6%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%2B6%29%28x-4%29%29%2F%283%28x-4%29%28x%2B4%29%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"%283%28x%2B6%29%28x-4%29%29%2F%283%28x-4%29%28x%2B4%29%28x%2B6%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=%28highlight%283%29highlight%28x%2B6%29highlight%28x-4%29%29%2F%28highlight%283%29highlight%28x-4%29%28x%2B4%29highlight%28x%2B6%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=%28cross%283%29cross%28x%2B6%29cross%28x-4%29%29%2F%28cross%283%29cross%28x-4%29%28x%2B4%29cross%28x%2B6%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=%281%29%2F%28%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"%281%29%2F%28%28x%2B4%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=%28%28x%2B6%29%2F%28x%5E2-16%29%29%28%283x-12%29%2F%283x%2B18%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%2F%28x%5E2-16%29%29%28%283x-12%29%2F%283x%2B18%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%29%2F%28%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"%281%29%2F%28%28x%2B4%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=%28%28x%2B6%29%2F%28x%5E2-16%29%29%28%283x-12%29%2F%283x%2B18%29%29=%281%29%2F%28%28x%2B4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-4 ALIGN=MIDDLE  ALT=\"x%3C%3E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E4 ALIGN=MIDDLE  ALT=\"x%3C%3E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-6 ALIGN=MIDDLE  ALT=\"x%3C%3E-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the answer choice is C </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );