document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33518>Question 33518</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131250892/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to simplify the sum of 5x/(x^2-x-6) and 4/(x^2+4*x+4). Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19900 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=19900\">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=+%285x%2F%28x%5E2-x-6%29%29+%2B+%284%2F%28x%5E2%2B4%2Ax%2B4%29%29+ ALIGN=MIDDLE  ALT=\"+%285x%2F%28x%5E2-x-6%29%29+%2B+%284%2F%28x%5E2%2B4%2Ax%2B4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor the denominators<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285x%2F%28%28x-3%29%28x%2B2%29%29%29+%2B+%284%2F%28%28x%2B2%29%28x%2B2%29%29%29+ ALIGN=MIDDLE  ALT=\"+%285x%2F%28%28x-3%29%28x%2B2%29%29%29+%2B+%284%2F%28%28x%2B2%29%28x%2B2%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Common denominator is : (x-3)(x+2)(x+2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285x%28x%2B2%29%2F%28%28x-3%29%28x%2B2%29%28x%2B2%29%29%29+%2B+%284%28x%2B3%29%2F%28%28x%2B2%29%28x%2B2%29%28x%2B3%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute the 5x and 4 across in the numerators<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%285x%5E2%2B10x%29%2F%28%28x-3%29%28x%2B2%29%28x%2B2%29%29%29+%2B+%28%284x%2B12%29%2F%28%28x%2B2%29%28x%2B2%29%28x%2B3%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add the numerators<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%285x%5E2%2B10x%29%2B%284x%2B12%29%29%2F%28%28x-3%29%28x%2B2%29%28x%2B2%29%29+ ALIGN=MIDDLE  ALT=\"+%28%285x%5E2%2B10x%29%2B%284x%2B12%29%29%2F%28%28x-3%29%28x%2B2%29%28x%2B2%29%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%285x%5E2%2B14x%2B12%29%29%2F%28%28x-3%29%28x%2B2%29%28x%2B2%29%29+ ALIGN=MIDDLE  ALT=\"+%28%285x%5E2%2B14x%2B12%29%29%2F%28%28x-3%29%28x%2B2%29%28x%2B2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the numerator DOES NOT factor .... you are done </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );