How do you simplify $\frac{(a + b)!}{(a + b - 1)!}$ $((a+b)! )/ ((a + b - 1)!)$ ?

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Answer 1 · 2018-05-21T16:36:02

See below.

We can simplify this expression by first rewriting the numerator as so:

$\frac{(a + b)!}{(a + b - 1)!} = \frac{(a + b - 1)! (a + b)}{(a + b - 1)!}$ $((a+b)!)/((a+b-1)!)=((a+b-1)!(a+b))/((a+b-1)!)$ ,

and then canceling the two like terms, we get

$(a + b)$ $(a+b)$ .

How do you simplify (a+b)!(a+b−1)!((a+b)! )/ ((a + b - 1)!)?