document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=524290>Question 524290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help with this complex rational expression with polynomials. I need to know step by step how to solve this, I keep comin up with x-1/(x+2)(x-2)+(x+2)\r<BR>\n" );
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document.write( "The correct answer is 1/x+2<BR>\n" );
document.write( "I labeled the all over line. The denominator is 1+ 1/x-2 just to clarify.<BR>\n" );
document.write( "The problem is: \r<BR>\n" );
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document.write( "x-1<BR>\n" );
document.write( "_____<BR>\n" );
document.write( "x^2-4<BR>\n" );
document.write( "_________  <--- this is \"all over\"<BR>\n" );
document.write( "1+ 1/x-2\r<BR>\n" );
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document.write( "Thanks for any help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347707 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=347707\">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=%28x-1%29%2F%28x%5E2-4%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%2F%28x%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >divided by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B%281%2F%28x-2%29%29 ALIGN=MIDDLE  ALT=\"1%2B%281%2F%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the divisor to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B%281%2F%28x-2%29%29+=+%28%28x-2%29%2B1%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"1%2B%281%2F%28x-2%29%29+=+%28%28x-2%29%2B1%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So now you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2F%28x%5E2-4%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%2F%28x%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >divided by<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-1%29%2F%28x%5E2-4%29%29%2A%28%28x-2%29%2F%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-1%29%2F%28x%5E2-4%29%29%2A%28%28x-2%29%2F%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the denominator of the first fraction:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28x-1%29%29%2F%28cross%28%28x-2%29%29%28x%2B2%29%29%29%2A%28cross%28%28x-2%29%29%2Fcross%28%28x-1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel the indicated factors to leave:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2F%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"highlight%281%2F%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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