How do you simplify $((2x)!)/((2x+2)!)$ ?

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Answer 1 · 2016-07-11T10:00:33

$1/{(2x+1)(2x+2)}.$

The Expression $=((2x)!)/(2x+2)!$
$=((2x)!)/{(2x!)(2x+1)(2x+2)}$
$=1/{(2x+1)(2x+2)}.$

How do you simplify ((2x)!)/((2x+2)!)((2x)!)/((2x+2)!)?