document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189567>Question 189567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me simplify this complex rational expression:<BR>\n" );
document.write( "1+1/x<BR>\n" );
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document.write( "x-1/x<BR>\n" );
document.write( "one plus one over x divided by x minus 1 over x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142241 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=142241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming that this is it right? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B1%2Fx%29%2F%28x-1%2Fx%29 ALIGN=MIDDLE  ALT=\"%281%2B1%2Fx%29%2F%28x-1%2Fx%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=%281%2B1%2Fx%29%2F%28x-1%2Fx%29 ALIGN=MIDDLE  ALT=\"%281%2B1%2Fx%29%2F%28x-1%2Fx%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=%281%2Ax%2Bcross%28x%29%281%2Fcross%28x%29%29%29%2F%28x%2Ax-cross%28x%29%281%2Fcross%28x%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the inner LCD \"x\" to clear out the inner fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%2F%28x%5E2-1%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%2F%28x%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%2F%28%28x%2B1%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%2F%28%28x%2B1%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the denominator (use the difference of squares formula).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2B1%29%29%2F%28highlight%28%28x%2B1%29%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B1%29%29%2F%28highlight%28%28x%2B1%29%29%28x-1%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=cross%28%28x%2B1%29%29%2F%28cross%28%28x%2B1%29%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"cross%28%28x%2B1%29%29%2F%28cross%28%28x%2B1%29%29%28x-1%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=1%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x-1%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=%281%2B1%2Fx%29%2F%28x-1%2Fx%29 ALIGN=MIDDLE  ALT=\"%281%2B1%2Fx%29%2F%28x-1%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x-1%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=%281%2B1%2Fx%29%2F%28x-1%2Fx%29=1%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%281%2B1%2Fx%29%2F%28x-1%2Fx%29=1%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-1 ALIGN=MIDDLE  ALT=\"x%3C%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E1 ALIGN=MIDDLE  ALT=\"x%3C%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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