document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=594527>Question 594527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify fully: n!-2(n-2)!/(n-2)(n-2)!   State any restrictions on \"n\"\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376793 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=376793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\Large \frac{n! - 2(n-2)!}{(n-2)(n-2)!}\" title=\"x\" />\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\Large \frac{n(n-1)(n-2)! - 2(n-2)!}{(n-2)(n-2)!}\" title=\"x\" />\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\Large \frac{(n-2)!(n(n-1) - 2)}{(n-2)(n-2)!}\" title=\"x\" />\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\Large \frac{n(n-1) - 2}{n-2}\" title=\"x\" />\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\Large \frac{n^2 - n - 2}{n-2}\" title=\"x\" />\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\Large \frac{(n-2)(n+1)}{n-2}\" title=\"x\" />\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\Large n+1\" title=\"x\" />\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\Large \frac{n! - 2(n-2)!}{(n-2)(n-2)!} = n+1 \ \text{for all integer values of n where } n > 2\" title=\"x\" /> </SPAN>\n" );
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