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September 18th, 2013, 05:11 AM  #1 
Senior Member Joined: Apr 2013 From: Ramallah, Palestine Posts: 349 Thanks: 0  How do I minimize the expression?
how do i minimize this expression? factor out a z? xy!z + x!yz + x!y!z 
September 18th, 2013, 12:59 PM  #2  
Global Moderator Joined: May 2007 Posts: 6,497 Thanks: 580  Re: How do I minimize the expression? Quote:
 
September 18th, 2013, 02:06 PM  #3  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: How do I minimize the expression? Quote:
 
September 19th, 2013, 06:14 AM  #4  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: How do I minimize the expression? Quote:
Yes, you can factor out z to get z(xy!+x!y+ x!y!). I don't see anything more to be done to make that simpler. (You could also factor out x and y to get xyz((y1)!+ (x1)!+ (x1)!(y 1)!) but I wouldn't call that "simpler".)  
September 19th, 2013, 09:21 AM  #5  
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 466 Math Focus: Calculus/ODEs  Re: How do I minimize the expression? Quote:
 

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