How do you simplify $\frac{(2 n + 3)!}{(2 n)!}$ $((2n+3)!)/((2n)!)$ ?

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How do you simplify $\frac{(2 n + 3)!}{(2 n)!}$ $((2n+3)!)/((2n)!)$ ?

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Answer 1 · 2015-11-14T21:41:01

$\frac{(2 n + 3)!}{(2 n)!} = (2 n + 3) (2 n + 2) (2 n + 1)$ $((2n+3)!)/((2n)!) = (2n+3)(2n+2)(2n+1)$

Explanation:

$\frac{(2 n + 3)!}{(2 n)!}$ $((2n+3)!)/((2n)!)$

$color(white)("XX") = ((2n+3)xx(2n+2)xx(2n+1)xxcancel((2n))xxcancel((2n-1))xxcancel((2n-2))xx...xxcancel((1)))/(cancel((2n))xxcancel((2n-1))xxcancel((2n-2))xx...xxcancel((1)))$

$color(white)("XX")=((2n+3)(2n+2)(2n+1)$

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How do you simplify $\frac{(2 n + 3)!}{(2 n)!}$ $((2n+3)!)/((2n)!)$ ?

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How do you simplify $\frac{(2 n + 3)!}{(2 n)!}$ $((2n+3)!)/((2n)!)$ ?