document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38437>Question 38437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help with this problem, 3/x^2+4x+3-1/x^2-9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23938 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From<BR>\n" );
document.write( "3 / (x^2 + 4x + 3) - 1 / (x^2 - 9)<BR>\n" );
document.write( "we factor in order to find the lowest common denominator and get<BR>\n" );
document.write( "3 / (x + 3)(x + 1) - 1 / (x - 3)(x + 3)<BR>\n" );
document.write( "and the LCD would be (x+3)(x-3)(x+1)<BR>\n" );
document.write( "Now convert each fraction<BR>\n" );
document.write( "3(x - 3) / (x+3)(x-3)(x+1) - (x + 1) / (x+3)(x-3)(x+1)<BR>\n" );
document.write( "= (3x - 9 - x - 1) / (x+3)(x-3)(x+1)<BR>\n" );
document.write( "= (2x - 10) / (x+3)(x-3)(x+1) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );