document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169732>Question 169732</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh>intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> simplify the following by choosing which answer matches the problem. please show work. thank you. \r<BR>\n" );
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document.write( "2      5       [A] 7x+27      [B]  7     [C]  7     [D] 7x+27<BR>\n" );
document.write( "--- + ---          -----         -----      -----       ------<BR>\n" );
document.write( "x+9   x-9            7            x+9       x^2-81      x^2-81\r<BR>\n" );
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document.write( "please help me with this problem. thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125102 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=125102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notice how the LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29%28x-9%29 ALIGN=MIDDLE  ALT=\"%28x%2B9%29%28x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So we need to get EVERY denominator equal to the LCD.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28x%2B9%29%2B5%2F%28x-9%29 ALIGN=MIDDLE  ALT=\"2%2F%28x%2B9%29%2B5%2F%28x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x-9%29%29%2F%28%28x%2B9%29%28x-9%29%29%2B5%2F%28x-9%29 ALIGN=MIDDLE  ALT=\"%282%28x-9%29%29%2F%28%28x%2B9%29%28x-9%29%29%2B5%2F%28x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-9%29%2F%28x-9%29 ALIGN=MIDDLE  ALT=\"%28x-9%29%2F%28x-9%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=%282%28x-9%29%29%2F%28%28x%2B9%29%28x-9%29%29%2B%285%28x%2B9%29%29%2F%28%28x%2B9%29%28x-9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29%2F%28x%2B9%29 ALIGN=MIDDLE  ALT=\"%28x%2B9%29%2F%28x%2B9%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=%282x-18%29%2F%28%28x%2B9%29%28x-9%29%29%2B%285x%2B45%29%2F%28%28x%2B9%29%28x-9%29%29 ALIGN=MIDDLE  ALT=\"%282x-18%29%2F%28%28x%2B9%29%28x-9%29%29%2B%285x%2B45%29%2F%28%28x%2B9%29%28x-9%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=%282x-18%29%2F%28x%5E2-81%29%2B%285x%2B45%29%2F%28x%5E2-81%29 ALIGN=MIDDLE  ALT=\"%282x-18%29%2F%28x%5E2-81%29%2B%285x%2B45%29%2F%28x%5E2-81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-18%2B5x%2B45%29%2F%28x%5E2-81%29 ALIGN=MIDDLE  ALT=\"%282x-18%2B5x%2B45%29%2F%28x%5E2-81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. This is possible since the denominators are equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B27%29%2F%28x%5E2-81%29 ALIGN=MIDDLE  ALT=\"%287x%2B27%29%2F%28x%5E2-81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28x%2B9%29%2B5%2F%28x-9%29=%287x%2B27%29%2F%28x%5E2-81%29 ALIGN=MIDDLE  ALT=\"2%2F%28x%2B9%29%2B5%2F%28x-9%29=%287x%2B27%29%2F%28x%5E2-81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-9 ALIGN=MIDDLE  ALT=\"x%3C%3E-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E9 ALIGN=MIDDLE  ALT=\"x%3C%3E9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the answer is choice D </SPAN>\n" );
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