document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=817031>Question 817031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write as a rational expression: 1/x^2-1 + x/x^2-3x-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491841 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=491841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write as a rational expression: <BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "1/x^2-1 + x/x^2-3x-4<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "1/[(x-1)(x+1)] + x/[(x-4)(x+1)]<BR>\n" );
document.write( "------<BR>\n" );
document.write( "lcd = (x-1)(x+1)(x-4)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Write each fraction over the lcd::<BR>\n" );
document.write( "[(x-4)/lcd] + [x(x-1)/lcd]<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Combine the numerators over the lcd::<BR>\n" );
document.write( "= [x-4+x^2-x]/lcd<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Simplify::<BR>\n" );
document.write( "= [x^2-4]/lcd<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );