document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=749205>Question 749205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem:\r<BR>\n" );
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document.write( "Show that <BR>\n" );
document.write( "                (n + 1) ! <BR>\n" );
document.write( "                 ______                   = n^3 - n for n equal or greater than 2.<BR>\n" );
document.write( "                (n - 2)                           \r<BR>\n" );
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document.write( "To use this equation for n =1, explain why it is necessary to define 0! = 1 ( this is a standard definition of 0!). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455857 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=455857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Not true for n = 2 because if n = 2 you have a zero denominator in the LHS.\r<BR>\n" );
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document.write( "It is true for n = 3 and n = 4, but it is not true for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE n\ \geq\ 5\">.\r<BR>\n" );
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document.write( "Now if what you meant to say was:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{(n\ +\ 1)!}{(n\ -\ 2)!} =\ n^3\ -\ n\ \forall\ n\ \in\ \mathbb{Z}\ \geq\ 2\">, then that is a horse of an entirely different color.  \r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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