document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619372>Question 619372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me simplify the following expression:\r<BR>\n" );
document.write( "\n" );
document.write( "a+1/(a^2-2a-3)- a+1/(a^2+4a+3)\r<BR>\n" );
document.write( "\n" );
document.write( "i have tried to factorise the denominators to find common factors but cannot come up with the answer in my book: 6/(a-3)(a+3).  Also, tried to put the expression into the automatic calculator on here but it came out with a different answer.  Help!  Thanks, Ade </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389584 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389584\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a+1/(a^2-2a-3)- a+1/(a^2+4a+3)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "= a+1/(a-3)*(a+1) - a+1/(a+1)*(a+3)<BR>\n" );
document.write( "= 1/(a-3) - 1/(a+3)<BR>\n" );
document.write( "= ((a+3) - (a-3))/(a^2 - 9)<BR>\n" );
document.write( "= 6/(a^2 - 9)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );