document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73281>Question 73281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1-2OVER X+2DIVIDED BY 1+2 OVER X-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52482 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=52482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-%282%2F%28x%2B2%29%29%29%2F%281%2B%282%2F%28x-2%29%29%29 ALIGN=MIDDLE  ALT=\"%281-%282%2F%28x%2B2%29%29%29%2F%281%2B%282%2F%28x-2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is how I interpreted your problem and I hope that is correct.<BR>\n" );
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document.write( "In the numerator let's put everything over the common denominator of (x+2).  We can do that <BR>\n" );
document.write( "by replacing the 1 with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this will make the numerator:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%2F%28x%2B2%29%29-%282%2F%28x%2B2%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%2F%28x%2B2%29%29-%282%2F%28x%2B2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and when you combine this numerator over its common denominator the result is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2+-2%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2+-2%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this further simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Next we'll do the same thing to the denominator.\r<BR>\n" );
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document.write( "In the denominator let's put everything over the common denominator of (x-2).  We can do that <BR>\n" );
document.write( "by replacing the 1 with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this will make the denominator become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-2%29%2F%28x-2%29%29%2B%282%2F%28x-2%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-2%29%2F%28x-2%29%29%2B%282%2F%28x-2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and when you combine this over its common denominator the result is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2+%2B2%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-2+%2B2%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this further simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now, putting the numerator and denominator back together in their new forms we get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%29%2F%28x%2B2%29%29%2F%28%28x%29%2F%28x-2%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%29%2F%28x%2B2%29%29%2F%28%28x%29%2F%28x-2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The rule for dividing by a fraction (the denominator) is to invert it and multiply it<BR>\n" );
document.write( "times the number being divided. We can apply that rule here and get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%29%2F%28x%2B2%29%29%2A%28%28x-2%29%2Fx%29 ALIGN=MIDDLE  ALT=\"%28%28x%29%2F%28x%2B2%29%29%2A%28%28x-2%29%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "which when multiplied becomes<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2A%28x-2%29%29%2F%28x%2A%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28x%2A%28x-2%29%29%2F%28x%2A%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "canceling the x in the denominator with the x in the numerator finally gets us to the answer:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope I interpreted your problem correctly and this is the work you were looking for. </SPAN>\n" );
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