document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40067>Question 40067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help please!! <BR>\n" );
document.write( "Add the fractions <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%2Fq%5E2%2B5q%2B6 ALIGN=MIDDLE  ALT=\"q%2Fq%5E2%2B5q%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fq%5E2+%2B3q%2B2 ALIGN=MIDDLE  ALT=\"1%2Fq%5E2+%2B3q%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25511 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well from<BR>\n" );
document.write( "q/(q^2 + 5q + 6) + 1/(q^2 + 3q +2)<BR>\n" );
document.write( "we factor the denominators and then look for the lowest common denominator to change each fraction into.  Once we do that we can combine the fractions.  Hopefuly something will simplify.  So here goes...<BR>\n" );
document.write( "q/(q^2 + 5q + 6) + 1/(q^2 + 3q +2) =<BR>\n" );
document.write( "q/(q+2)(q+3) + 1/(q+2)(q+1) =<BR>\n" );
document.write( "q(q+1)/(q+1)(q+2)(q+3) + (q+3)/(q+1)(q+2)(q+3) =<BR>\n" );
document.write( "(q^2+q)/(q+1)(q+2)(q+3) + (q+3)/(q+1)(q+2)(q+3) =<BR>\n" );
document.write( "(q^2+2q+3)/(q+1)(q+2)(q+3)<BR>\n" );
document.write( "Nothing else simplifies...we are done... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );