document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001515>Question 1001515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the expression<BR>\n" );
document.write( "(3n+2)!/(3n-3)! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618650 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=618650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3n+2)! / (3n-3)! = (3n+2)*(3n+1)*(3n)*(3n-1)*(3n-2)*(3n-3)! divided by (3n-3)!\r<BR>\n" );
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document.write( "the (3n-3)! in the numerator and denominator cancel out and you are left with:\r<BR>\n" );
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document.write( "(3n+2)*(3n+1)*(3n)*(3n-1)*(3n-2)\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "let n = 7\r<BR>\n" );
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document.write( "3n+2 = 23<BR>\n" );
document.write( "3n+1 = 22<BR>\n" );
document.write( "3n+0 = 21<BR>\n" );
document.write( "3n-1 = 20<BR>\n" );
document.write( "3n-2 = 19<BR>\n" );
document.write( "3n-3 = 18\r<BR>\n" );
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document.write( "(3n+2)! / (3n-3)! = (3n+2)*(3n+1)*(3n)*(3n-1)*(3n-2)*(3n-3)! divided by (3n-3)! which becomes:<BR>\n" );
document.write( "23! / 18! = (23 * 22 * 21 * 20 * 19 * 18! divided by 18! which becomes:<BR>\n" );
document.write( "(23 * 22 * 21 * 20 * 19)\r<BR>\n" );
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document.write( "the result is 4037880\r<BR>\n" );
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document.write( "i used my ti-84 to take 23! and divide it by 18! and i got 4037880.\r<BR>\n" );
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document.write( "this confirms the solution is correct.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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