document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560333>Question 560333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the following expression. x^2+x+7/(x-3)(x+4) - x^2+3/(x^2+x-12) I don't understand how to do these types of problems. Help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363839 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=363839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify the following expression. <BR>\n" );
document.write( "x^2+x+7/(x-3)(x+4) - (x^2+3)/(x^2+x-12)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Note x^2+x-12 = (x-3)(x+4) so the denominators are the same.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Combine the numerators over the commondenominator:<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= [x^2+x+7-x^2-3]/lcd<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= (x+4)/[(x-3)(x+4)]<BR>\n" );
document.write( "------<BR>\n" );
document.write( "= 1/(x-3)<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );