document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43338>Question 43338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to subtract as indicated and simplify the results if possible.  Can someone show me how to do this?\r<BR>\n" );
document.write( "\n" );
document.write( "6y/y^2-4 - 3/y+2\r<BR>\n" );
document.write( "\n" );
document.write( "The 6y is over the y^2-4 and the 3 is over the y+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28372 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=28372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (6y)/(y^2-4) - (3)/(y+2)\r<BR>\n" );
document.write( "\n" );
document.write( "The least common denominator (LCD) is (y+2)(y-2)=y^2-4\r<BR>\n" );
document.write( "\n" );
document.write( "Convert each fraction so each has the LCD as its denominator, as follows:\r<BR>\n" );
document.write( "\n" );
document.write( "(6y)/(y^2-4) - [3(y-2)]/(y^2-4)\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract as indicated:\r<BR>\n" );
document.write( "\n" );
document.write( "[6y-3(y-2)]/(y^2-4)<BR>\n" );
document.write( "[3y+6]/(y^2-4)<BR>\n" );
document.write( "Factor to get:\r<BR>\n" );
document.write( "\n" );
document.write( "[3(y+2)]/[(y+2)(y-2)]\r<BR>\n" );
document.write( "\n" );
document.write( "=3/(y-2)\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H.\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );