document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197366>Question 197366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations and simplify.\r<BR>\n" );
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document.write( "I got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41%2F18 ALIGN=MIDDLE  ALT=\"41%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > as an answer but do not think this is correct. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147991 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=147991\">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=%28y-2%29%2F%28y-9%29+-+%28y%2B1%29%2F%28y%2B9%29+%2B+%28y-135%29%2F%28y%5E2-81%29 ALIGN=MIDDLE  ALT=\"%28y-2%29%2F%28y-9%29+-+%28y%2B1%29%2F%28y%2B9%29+%2B+%28y-135%29%2F%28y%5E2-81%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=%28y-2%29%2F%28y-9%29+-+%28y%2B1%29%2F%28y%2B9%29+%2B+%28y-135%29%2F%28%28y-9%29%28y%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the last denominator.\r<BR>\n" );
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document.write( "Take note that the LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-9%29%28y%2B9%29 ALIGN=MIDDLE  ALT=\"%28y-9%29%28y%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In order to add/subtract these fractions, 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=%28%28y-2%29%28y%2B9%29%29%2F%28%28y-9%29%28y%2B9%29%29+-+%28y%2B1%29%2F%28y%2B9%29+%2B+%28y-135%29%2F%28%28y-9%29%28y%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B9%29%2F%28y%2B9%29 ALIGN=MIDDLE  ALT=\"%28y%2B9%29%2F%28y%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=%28y%5E2%2B7y-18%29%2F%28%28y-9%29%28y%2B9%29%29+-+%28y%2B1%29%2F%28y%2B9%29+%2B+%28y-135%29%2F%28%28y-9%29%28y%2B9%29%29 ALIGN=MIDDLE   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=%28y%5E2%2B7y-18%29%2F%28%28y-9%29%28y%2B9%29%29+-+%28%28y%2B1%29%28y-9%29%29%2F%28%28y%2B9%29%28y-9%29%29+%2B+%28y-135%29%2F%28%28y-9%29%28y%2B9%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=%28y-9%29%2F%28y-9%29 ALIGN=MIDDLE  ALT=\"%28y-9%29%2F%28y-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%2B7y-18%29%2F%28%28y-9%29%28y%2B9%29%29+-+%28y%5E2-8y-9%29%2F%28%28y%2B9%29%28y-9%29%29+%2B+%28y-135%29%2F%28%28y-9%29%28y%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "Now that every denominator is equal, we can add/subtract the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%5E2%2B7y-18%29-+%28y%5E2-8y-9%29%2B+%28y-135%29%29%2F%28%28y-9%29%28y%2B9%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%5E2%2B7y-18%29-+%28y%5E2-8y-9%29%2B+%28y-135%29%29%2F%28%28y-9%29%28y%2B9%29%29\"   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=%28y%5E2%2B7y-18-+y%5E2%2B8y%2B9%2B+y-135%29%2F%28%28y-9%29%28y%2B9%29%29 ALIGN=MIDDLE  ALT=\"%28y%5E2%2B7y-18-+y%5E2%2B8y%2B9%2B+y-135%29%2F%28%28y-9%29%28y%2B9%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=%2816y-144%29%2F%28%28y-9%29%28y%2B9%29%29 ALIGN=MIDDLE  ALT=\"%2816y-144%29%2F%28%28y-9%29%28y%2B9%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=%2816%28y-9%29%29%2F%28%28y-9%29%28y%2B9%29%29 ALIGN=MIDDLE  ALT=\"%2816%28y-9%29%29%2F%28%28y-9%29%28y%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%2Ahighlight%28%28y-9%29%29%29%2F%28highlight%28%28y-9%29%29%28y%2B9%29%29 ALIGN=MIDDLE  ALT=\"%2816%2Ahighlight%28%28y-9%29%29%29%2F%28highlight%28%28y-9%29%29%28y%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%2Across%28%28y-9%29%29%29%2F%28cross%28%28y-9%29%29%28y%2B9%29%29 ALIGN=MIDDLE  ALT=\"%2816%2Across%28%28y-9%29%29%29%2F%28cross%28%28y-9%29%29%28y%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F%28y%2B9%29 ALIGN=MIDDLE  ALT=\"16%2F%28y%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-2%29%2F%28y-9%29+-+%28y%2B1%29%2F%28y%2B9%29+%2B+%28y-135%29%2F%28y%5E2-81%29 ALIGN=MIDDLE  ALT=\"%28y-2%29%2F%28y-9%29+-+%28y%2B1%29%2F%28y%2B9%29+%2B+%28y-135%29%2F%28y%5E2-81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F%28y%2B9%29 ALIGN=MIDDLE  ALT=\"16%2F%28y%2B9%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=%28y-2%29%2F%28y-9%29+-+%28y%2B1%29%2F%28y%2B9%29+%2B+%28y-135%29%2F%28y%5E2-81%29=16%2F%28y%2B9%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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