document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283066>Question 283066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-6%29%2F%28x%5E2-x-6%29%29-%28%28x%2B3%29%2F%28x%5E2%2B8x%2B12%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-6%29%2F%28x%5E2-x-6%29%29-%28%28x%2B3%29%2F%28x%5E2%2B8x%2B12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > I'm having so much trouble with this question, nothing is working for me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205477 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=205477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Just looking at it I would suspect that (x-6) and/or (x+3) are factors of the denominators.<BR>\n" );
document.write( "Answer :<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27%2F%28%28x-3%29+%28x%2B2%29+%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"-27%2F%28%28x-3%29+%28x%2B2%29+%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "or Answer:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-27%2F%28x%5E3%2B5x%5E2-12x-36%29+ ALIGN=MIDDLE  ALT=\"+-27%2F%28x%5E3%2B5x%5E2-12x-36%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "How did I get there?<BR>\n" );
document.write( "Start with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-6%29%2F%28x%5E2-x-6%29%29-%28%28x%2B3%29%2F%28x%5E2%2B8x%2B12%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-6%29%2F%28x%5E2-x-6%29%29-%28%28x%2B3%29%2F%28x%5E2%2B8x%2B12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The long way:<BR>\n" );
document.write( "multiply first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2Bx%29%2F%286%2Bx%29 ALIGN=MIDDLE  ALT=\"%286%2Bx%29%2F%286%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > aka <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2Bx%29%2F%28-3%2Bx%29 ALIGN=MIDDLE  ALT=\"%28-3%2Bx%29%2F%28-3%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to make a common denominator<BR>\n" );
document.write( "  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x-6%29+%286%2Bx%29%29%2F%28%28x%5E2-x-6%29+%286%2Bx%29%29+%2B+%28-%28x%2B3%29+%28-3%2Bx%29%29%2F%28%28x%5E2%2B8x%2B12%29+%28-3%2Bx%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "multiply it out  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-36%2Bx%5E2%29%2F%28-36-12x%2B5+x%5E2%2Bx%5E3%29%2B%289-x%5E2%29%2F%28-36-12x%2B5x%5E2%2Bx%5E3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "collect terms  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-36%2Bx%5E2+%2B+9-x%5E2%29%2F%28-36-12x%2B5x%5E2%2Bx%5E3%29+ ALIGN=MIDDLE  ALT=\"%28-36%2Bx%5E2+%2B+9-x%5E2%29%2F%28-36-12x%2B5x%5E2%2Bx%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27%2F%28-36-12+x%2B5+x%5E2%2Bx%5E3%29+ ALIGN=MIDDLE  ALT=\"-27%2F%28-36-12+x%2B5+x%5E2%2Bx%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "rearrange<BR>\n" );
document.write( "Answer:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-27%2F%28x%5E3%2B5x%5E2-12x-36%29+ ALIGN=MIDDLE  ALT=\"+-27%2F%28x%5E3%2B5x%5E2-12x-36%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "Answer :<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27%2F%28%28x-3%29+%28x%2B2%29+%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"-27%2F%28%28x-3%29+%28x%2B2%29+%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Another way to to do the same thing:<BR>\n" );
document.write( "The short way:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x-6=%28x-3%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"x%5E2-x-6=%28x-3%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B8x%2B12=%28x%2B6%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B8x%2B12=%28x%2B6%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-6%29%2F%28x%5E2-x-6%29%29-%28%28x%2B3%29%2F%28x%5E2%2B8x%2B12%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-6%29%2F%28x%5E2-x-6%29%29-%28%28x%2B3%29%2F%28x%5E2%2B8x%2B12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-6%29%2F%28x-3%29%28x%2B2%29%29-%28%28x%2B3%29%2F%28x%2B6%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-6%29%2F%28x-3%29%28x%2B2%29%29-%28%28x%2B3%29%2F%28x%2B6%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2Bx%29%2F%286%2Bx%29 ALIGN=MIDDLE  ALT=\"%286%2Bx%29%2F%286%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286%2Bx%29%2F%286%2Bx%29%29%2A%28%28x-6%29%2F%28x-3%29%28x%2B2%29%29-%28%28x-3%29%2F%28x-3%29%29%2A%28%28x%2B3%29%2F%28x%2B6%29%28x%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply out the numerators<BR>\n" );
document.write( "and get the same as above.<BR>\n" );
document.write( "Answer :<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27%2F%28%28x-3%29+%28x%2B2%29+%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"-27%2F%28%28x-3%29+%28x%2B2%29+%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );