Can you solve the equation 100! - 99!?

[srfriggen]

question: what is 100! - 99!

I've broken it down to a problem like this: Let x=99! Then 100! = 100*99! = 100x. 100x - x=99x = 99*99!.

I can't figure out a way to simplify the problem any more than that.

Thank you in advance for any help.

 

[HallsofIvy]

There is the obvious: 100!- 99!= 99!(100- 1)= 99!(99).

 

[phinds]

you've got the right answer and I don't see how it COULD be simplified any further except by actually computing 99! which just seems like a waste of time.

 

[dextercioby]

There's always Mathematica :

http://www.wolframalpha.com/input/?i=Evaluate+99*+99!

 

[Borek]

http://www.wolframalpha.com/input/?i=99*99!&dataset=

Edit: lol, too much time spent to attach the image.

 

[arildno]

As is seen, "!" does not satisfy the distributive law for operations.