document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=17594>Question 17594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Add these expressions.<BR>\n" );
document.write( "a+6/a+2 + 16/a^2-4<BR>\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 #8490 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=8490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%2B6%29%2F%28a%2B2%29+%2B+16%2F%28a%5E2-4%29+ ALIGN=MIDDLE  ALT=\"+%28a%2B6%29%2F%28a%2B2%29+%2B+16%2F%28a%5E2-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >??  If so, then the first step in adding fractions is to factor the denominators so as to find the LCD.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%2B6%29%2F%28a%2B2%29+%2B+16%2F%28%28a-2%29%28a%2B2%29%29+ ALIGN=MIDDLE  ALT=\"+%28a%2B6%29%2F%28a%2B2%29+%2B+16%2F%28%28a-2%29%28a%2B2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and the LCD = (a-2)(a+2).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In order to get the LCD in the first fraction, you already have the (a+2) factor, but you will need to multiply numerator and denominator of this first fraction by (a-2).  The second fraction already has the LCD, so leave it alone.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28a%2B6%29%2F%28a%2B2%29%29%2A%28%28a-2%29%2F%28a-2%29%29+%2B+16%2F%28%28a-2%29%28a%2B2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now you have an LCD of (a-2)(a+2), and this becomes THE denominator of the fraction:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28______________________%29%2F%28%28a-2%29%2A%28a%2B2%29%29+ ALIGN=MIDDLE  ALT=\"+%28______________________%29%2F%28%28a-2%29%2A%28a%2B2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, just add numerators together as follows:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+a%5E2+%2B4a-12+%2B+16%29%2F%28%28a-2%29%2A%28a%2B2%29%29+ ALIGN=MIDDLE  ALT=\"+%28+a%5E2+%2B4a-12+%2B+16%29%2F%28%28a-2%29%2A%28a%2B2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2+%2B+4a+%2B4%29%2F%28%28a-2%29%28a%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28a%5E2+%2B+4a+%2B4%29%2F%28%28a-2%29%28a%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The numerator DOES factor, so you must factor the numerator in order to reduce the fraction.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2B2%29%2A%28a%2B2%29%29%2F%28%28a-2%29%28a%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%28a%2B2%29%2A%28a%2B2%29%29%2F%28%28a-2%29%28a%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Divide out the (a+2) factor in the denominator with one of the numerator factors: \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%2B2%29%2F%28a-2%29+ ALIGN=MIDDLE  ALT=\"+%28a%2B2%29%2F%28a-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  FINAL ANSWER!!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 at SCC </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );