document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971105>Question 971105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please perform the indicated operation:\r<BR>\n" );
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document.write( "(x / (x^2 - 9)) - ((x + 1) / (x^2 + 6*x + 9)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593680 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=593680\">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=x%2F%28x%5E2-9%29-%28x%2B1%29%2F%28x%5E2%2B6x%2B9%29 ALIGN=MIDDLE  ALT=\"x%2F%28x%5E2-9%29-%28x%2B1%29%2F%28x%5E2%2B6x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "1).  Find the LCD of both fractions:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9 ALIGN=MIDDLE  ALT=\"x%5E2-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factored as <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;\" ><BR>\n" );
document.write( "                                                        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2%2B6x%2B9 ALIGN=MIDDLE  ALT=\"X%5E2%2B6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factored as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2).  Replace the denominators of each fraction with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2%2A%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2%2A%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=x%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29-%28x%2B1%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29 ALIGN=MIDDLE  ALT=\"x%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29-%28x%2B1%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3).  Multiply the numerator of fraction #1 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3 ALIGN=MIDDLE  ALT=\"x%2B3\"   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=%28x%28x%2B3%29%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28x%28x%2B3%29%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B3x%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B3x%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "4).  Multiply the numerator of fraction #2 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   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%2B1%29%28x-3%29%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B1%29%28x-3%29%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-2x-3%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-2x-3%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "5).  Subtract numerator of fraction #2 from fraction #1 numerator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B3x-x%5E2%2B2x%2B3%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B3x-x%5E2%2B2x%2B3%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2B3%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%285x%2B3%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Final Answer:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2B3%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%285x%2B3%29%2F%28%28x%2B3%29%5E2%2A%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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