document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241220>Question 241220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations and simplify.<BR>\n" );
document.write( "x^2/3x^2-5x-2-2x/3x+1&#8729;1/(x-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176641 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=176641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations and simplify.<BR>\n" );
document.write( "[x^2/3x^2-5x-2]-[2x/3x+1]&#8729;[1/(x-2)]<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Factor where you can:<BR>\n" );
document.write( "[x^2/(x-2)(3x+1]-[2x/3x+1]&#8729;[1/(x-2)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "lcd = (x-2)(3x+1)<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Write each fraction with the lcd as its denominator:<BR>\n" );
document.write( "[x^2/lcd] - [2x/lcd]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Combine the numerators over the lcd:<BR>\n" );
document.write( "(x^2-2x]/[(x-2)(3x+1)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(x(x-2))/[(x-2)(3x+1)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x/(3x+1)<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );