document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200158>Question 200158</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780078738227/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How do I add 3/x+5 + 4/x-4 could you please show the steps taken. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150453 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=150453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take note that the LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x%2B5%29%2B4%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"3%2F%28x%2B5%29%2B4%2F%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28x-4%29%29%2F%28%28x%2B5%29%28x-4%29%29%2B4%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"%283%28x-4%29%29%2F%28%28x%2B5%29%28x-4%29%29%2B4%2F%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both the numerator and denominator of the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4 ALIGN=MIDDLE  ALT=\"x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to get this denominator equal to the LCD)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-12%29%2F%28%28x%2B5%29%28x-4%29%29%2B4%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"%283x-12%29%2F%28%28x%2B5%29%28x-4%29%29%2B4%2F%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-12%29%2F%28%28x%2B5%29%28x-4%29%29%2B%284%28x%2B5%29%29%2F%28%28x%2B5%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%283x-12%29%2F%28%28x%2B5%29%28x-4%29%29%2B%284%28x%2B5%29%29%2F%28%28x%2B5%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply both the numerator and denominator of the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5 ALIGN=MIDDLE  ALT=\"x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to get this denominator equal to the LCD)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-12%29%2F%28%28x%2B5%29%28x-4%29%29%2B%284x%2B20%29%2F%28%28x%2B5%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%283x-12%29%2F%28%28x%2B5%29%28x-4%29%29%2B%284x%2B20%29%2F%28%28x%2B5%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-12%2B4x%2B20%29%2F%28%28x%2B5%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%283x-12%2B4x%2B20%29%2F%28%28x%2B5%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. This is now possible because the denominators are equal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B8%29%2F%28%28x%2B5%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%287x%2B8%29%2F%28%28x%2B5%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B8%29%2F%28x%5E2%2Bx-20%29 ALIGN=MIDDLE  ALT=\"%287x%2B8%29%2F%28x%5E2%2Bx-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x%2B5%29%2B4%2F%28x-4%29=%287x%2B8%29%2F%28x%5E2%2Bx-20%29 ALIGN=MIDDLE  ALT=\"3%2F%28x%2B5%29%2B4%2F%28x-4%29=%287x%2B8%29%2F%28x%5E2%2Bx-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );