document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151293>Question 151293</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8/x+3 + 9/x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111194 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=111194\">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=%288%29%2F%28x%2B3%29%2B%289%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"%288%29%2F%28x%2B3%29%2B%289%29%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "Now let's find the LCM of the denominators <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It turns out that the LCM of these denominators is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the goal is to get both denominators to the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-3%29%2F%28x-3%29%29%28%288%29%2F%28%28x%2B3%29%29%29%2B%28%28x%2B3%29%2F%28x%2B3%29%29%28%289%29%2F%28%28x-3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the 1st fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-3%29%29%2F%28%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-3%29%29%2F%28%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%28x-3%29%29%2F%28%28x%2B3%29%28x-3%29%29%2B%28%28x%2B3%29%2F%28x%2B3%29%29%28%289%29%2F%28%28x-3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%28x-3%29%29%2F%28%28x%2B3%29%28x-3%29%29%2B%28%28x%2B3%29%2F%28x%2B3%29%29%28%289%29%2F%28%28x-3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the 2nd fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B3%29%29%2F%28%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B3%29%29%2F%28%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%28x-3%29%29%2F%28%28x%2B3%29%28x-3%29%29%2B%289%28x%2B3%29%29%2F%28%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x-24%29%2F%28%28x%2B3%29%28x-3%29%29%2B%289x%2B27%29%2F%28%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%288x-24%29%2F%28%28x%2B3%29%28x-3%29%29%2B%289x%2B27%29%2F%28%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x-24%2B9x%2B27%29%2F%28%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%288x-24%2B9x%2B27%29%2F%28%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the fractions. This is now possible since both denominators are equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2817x%2B3%29%2F%28%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%2817x%2B3%29%2F%28%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2817x%2B3%29%2F%28x%5E2-9%29 ALIGN=MIDDLE  ALT=\"%2817x%2B3%29%2F%28x%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%29%2F%28x%2B3%29%2B%289%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"%288%29%2F%28x%2B3%29%2B%289%29%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2817x%2B3%29%2F%28x%5E2-9%29 ALIGN=MIDDLE  ALT=\"%2817x%2B3%29%2F%28x%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%29%2F%28x%2B3%29%2B%289%29%2F%28x-3%29=%2817x%2B3%29%2F%28x%5E2-9%29 ALIGN=MIDDLE  ALT=\"%288%29%2F%28x%2B3%29%2B%289%29%2F%28x-3%29=%2817x%2B3%29%2F%28x%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-3 ALIGN=MIDDLE  ALT=\"x%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E3 ALIGN=MIDDLE  ALT=\"x%3C%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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