SOLUTION: Simplify the expression: (n!)²-(n-1)!n!/(n-1)!n!

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Question 1043206: Simplify the expression: (n!)²-(n-1)!n!/(n-1)!n!
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Simplify the expression: (n!)²-(n-1)!n!/(n-1)!n!
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Let us start with the numerator.

%28n%21%29%5E2+-+%28n-1%29%21%2An%21 = n%21%2A%28n-1%29%21%2A%28n+-+%28n-1%29%29 = n!*(n-1)!.


Did you noticed that it is exactly the denominator?

The answer is: 1.