document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384066>Question 384066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SIMPLIFY the expression:<BR>\n" );
document.write( "(1/x^2+6x+8)&#8722;(1/x^2&#8722;2x&#8722;8)<BR>\n" );
document.write( "and give your answer in the form of f(x)/g(x)\r<BR>\n" );
document.write( "\n" );
document.write( "My solution was (1/(x-4)(x+4)), but it was incorrect.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271843 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=271843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The solution that I came up with is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8%29%2F%28%28x%2B2%29%2A%28x%2B4%29%2A%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%28-8%29%2F%28%28x%2B2%29%2A%28x%2B4%29%2A%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I checked the solution out by assuming x was equal to 2 and solving both the original expression and the final expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "They came out to the same answer leading to the conclusion that I simplified correctly.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "My manual calculations are in the picture shown below:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/problems/384066.jpg\" alt = \"***** picture not found *****\" />\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "first I factored.<BR>\n" );
document.write( "then I found common denominator.<BR>\n" );
document.write( "then I combined numerator under same denominator.<BR>\n" );
document.write( "then I performed calculations on numerator.<BR>\n" );
document.write( "result was final answer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );