document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156687>Question 156687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Addition and Subtraction of Rational Expressions\r<BR>\n" );
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document.write( "y^3 - 5y/6y - y^3 + y + 3/6y\r<BR>\n" );
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document.write( "y^2/y-4 - 4/y-4\r<BR>\n" );
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document.write( " 2/ y + 3 / y-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115511 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=115511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first two to get you started\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E3+-+5y%29%2F%286y%29+-%28y%5E3+%2B+y+%2B+3%29%2F%286y%29 ALIGN=MIDDLE  ALT=\"%28y%5E3+-+5y%29%2F%286y%29+-%28y%5E3+%2B+y+%2B+3%29%2F%286y%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%5E3+-+5y-%28y%5E3+%2B+y+%2B+3%29%29%2F%286y%29 ALIGN=MIDDLE  ALT=\"%28y%5E3+-+5y-%28y%5E3+%2B+y+%2B+3%29%29%2F%286y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the denominators are equal, this means that we can subtract the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E3+-+5y-y%5E3+-+y+-+3%29%2F%286y%29 ALIGN=MIDDLE  ALT=\"%28y%5E3+-+5y-y%5E3+-+y+-+3%29%2F%286y%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=%28-6y-3%29%2F%286y%29 ALIGN=MIDDLE  ALT=\"%28-6y-3%29%2F%286y%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=%28y%5E3+-+5y%29%2F%286y%29+-%28y%5E3+%2B+y+%2B+3%29%2F%286y%29 ALIGN=MIDDLE  ALT=\"%28y%5E3+-+5y%29%2F%286y%29+-%28y%5E3+%2B+y+%2B+3%29%2F%286y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6y-3%29%2F%286y%29 ALIGN=MIDDLE  ALT=\"%28-6y-3%29%2F%286y%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%5E3+-+5y%29%2F%286y%29+-%28y%5E3+%2B+y+%2B+3%29%2F%286y%29=%28-6y-3%29%2F%286y%29 ALIGN=MIDDLE  ALT=\"%28y%5E3+-+5y%29%2F%286y%29+-%28y%5E3+%2B+y+%2B+3%29%2F%286y%29=%28-6y-3%29%2F%286y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E0 ALIGN=MIDDLE  ALT=\"y%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%29%2F%28y-4%29+-%284%29%2F%28y-4%29 ALIGN=MIDDLE  ALT=\"%28y%5E2%29%2F%28y-4%29+-%284%29%2F%28y-4%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%5E2-4%29%2F%28y-4%29 ALIGN=MIDDLE  ALT=\"%28y%5E2-4%29%2F%28y-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the denominators are equal, this means that we can subtract the fractions.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%29%2F%28y-4%29+-%284%29%2F%28y-4%29 ALIGN=MIDDLE  ALT=\"%28y%5E2%29%2F%28y-4%29+-%284%29%2F%28y-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2-4%29%2F%28y-4%29 ALIGN=MIDDLE  ALT=\"%28y%5E2-4%29%2F%28y-4%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%5E2%29%2F%28y-4%29+-%284%29%2F%28y-4%29=%28y%5E2-4%29%2F%28y-4%29 ALIGN=MIDDLE  ALT=\"%28y%5E2%29%2F%28y-4%29+-%284%29%2F%28y-4%29=%28y%5E2-4%29%2F%28y-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E4 ALIGN=MIDDLE  ALT=\"y%3C%3E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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