document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88248>Question 88248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4) [-2/(x^2 + 10x + 24)] - [4/(x + 4)]\r<BR>\n" );
document.write( "\n" );
document.write( "Subtraction and simplify\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64126 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%29%2F%28x%5E2%2B10x%2B24%29%29-%284%2F%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"%28%28-2%29%2F%28x%5E2%2B10x%2B24%29%29-%284%2F%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First step is to factor the denominator in the first term. This will simplify the<BR>\n" );
document.write( "process of finding the LCD, which is necessary to perform the subtraction:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%29%2F%28x%2B4%29%28x%2B6%29%29-%284%2F%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"%28%28-2%29%2F%28x%2B4%29%28x%2B6%29%29-%284%2F%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I can see that my LCD is (x+4)(x+6), so let's rewrite the second term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%29%2F%28x%2B4%29%28x%2B6%29%29-%284%28x%2B6%29%2F%28x%2B4%29%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%28-2%29%2F%28x%2B4%29%28x%2B6%29%29-%284%28x%2B6%29%2F%28x%2B4%29%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying the 2nd term a little:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%29%2F%28x%2B4%29%28x%2B6%29%29-%28%284x%2B24%29%2F%28x%2B4%29%28x%2B6%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28-2%29%2F%28x%2B4%29%28x%2B6%29%29-%28%284x%2B24%29%2F%28x%2B4%29%28x%2B6%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine the terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2-%284x%2B24%29%29%2F%28x%2B4%29%28x%2B6%29 ALIGN=MIDDLE  ALT=\"%28-2-%284x%2B24%29%29%2F%28x%2B4%29%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2-4x-24%29%2F%28x%2B4%29%28x%2B6%29 ALIGN=MIDDLE  ALT=\"%28-2-4x-24%29%2F%28x%2B4%29%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28-4x-26%29%2F%28x%2B4%29%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28-4x-26%29%2F%28x%2B4%29%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );