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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
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Re: How do I minimize the expression?

Quote:
 Originally Posted by Shamieh how do i minimize this expression? factor out a z? xy!z + x!yz + x!y!z
What conditions do you have on x,y,z? You can make them all 0.

September 18th, 2013, 02:06 PM   #3
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Re: How do I minimize the expression?

Quote:
 Originally Posted by mathman What conditions do you have on x,y,z? You can make them all 0.
I think -- but I'm not sure -- that the task is to simplify the expression, rather than choose values for x, y, and z.

September 19th, 2013, 06:14 AM   #4
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Re: How do I minimize the expression?

Quote:
 Originally Posted by Shamieh how do i minimize this expression? factor out a z? xy!z + x!yz + x!y!z
What does the '!' mean? The factorial? Are x and y assumed to be integers? What about z?

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((y-1)!+ (x-1)!+ (x-1)!(y- 1)!) but I wouldn't call that "simpler".)

September 19th, 2013, 09:21 AM   #5
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Re: How do I minimize the expression?

Quote:
 Originally Posted by Shamieh how do i minimize this expression? factor out a z? xy!z + x!yz + x!y!z
As you can see, folks are trying to decide what you mean here. I suggest posting the context of the problem as well (Truth Tables, Canonical Sums and Minimizing the Canonical Sum).

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