document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80158>Question 80158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (q^2/(q^2-16))- 2/q-4 = 3/q+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57555 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=57555\">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=q%5E2%2F%28q%5E2-16%29-2%2F%28q-4%29+=+3%2F%28q%2B4%29 ALIGN=MIDDLE  ALT=\"q%5E2%2F%28q%5E2-16%29-2%2F%28q-4%29+=+3%2F%28q%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First, factor that denominator to make it easier to see what the upcoming LCD needs to be for combining this mess:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E2%2F%28%28q%2B4%29%28q-4%29%29-2%2F%28q-4%29+=+3%2F%28q%2B4%29 ALIGN=MIDDLE  ALT=\"q%5E2%2F%28%28q%2B4%29%28q-4%29%29-2%2F%28q-4%29+=+3%2F%28q%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Get all like terms on one side of the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E2%2F%28%28q%2B4%29%28q-4%29%29-2%2F%28q-4%29-3%2F%28q%2B4%29=0 ALIGN=MIDDLE  ALT=\"q%5E2%2F%28%28q%2B4%29%28q-4%29%29-2%2F%28q-4%29-3%2F%28q%2B4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, you can see that the LCD is (q+4)(q-4). You can rewrite the equation in terms of this LCD:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E2%2F%28%28q%2B4%29%28q-4%29%29-%282%28q%2B4%29%29%2F%28%28q%2B4%29%28q-4%29%29-%283%28q-4%29%29%2F%28%28q%2B4%29%28q-4%29%29=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, combine all like terms. You should get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%5E2-2q-8-3q%2B12%29%2F%28%28q%2B4%29%28q-4%29%29=0 ALIGN=MIDDLE  ALT=\"%28q%5E2-2q-8-3q%2B12%29%2F%28%28q%2B4%29%28q-4%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%5E2-5q%2B4%29%2F%28%28q%2B4%29%28q-4%29%29=0 ALIGN=MIDDLE  ALT=\"%28q%5E2-5q%2B4%29%2F%28%28q%2B4%29%28q-4%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, factor that numeraotr so you can have a cancelling opportunity:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q-1%29%28q-4%29%2F%28%28q%2B4%29%28q-4%29%29=0 ALIGN=MIDDLE  ALT=\"%28q-1%29%28q-4%29%2F%28%28q%2B4%29%28q-4%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Aha, you can cancel the (q-4) terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28q-1%29%2F%28q%2B4%29%29=0 ALIGN=MIDDLE  ALT=\"%28%28q-1%29%2F%28q%2B4%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28q=1%29 ALIGN=MIDDLE  ALT=\"highlight%28q=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );