What is ((8n-1)!)/((8n+1)!) ?

The solution to ((8n-1)!)/((8n+1)!) is 1/(8n(8n+1))

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simplify ((8n-1)!)/((8n+1)!)

simplify

\frac{( 8 n - 1 ) !}{( 8 n + 1 ) !}

\frac{1}{8 n ( 8 n + 1 )}

Solution steps

\frac{( 8 n - 1 ) !}{( 8 n + 1 ) !}

Cancel the factorials:

\frac{n !}{( n + m ) !} = \frac{1}{( n + 1 ) \cdot ( n + 2 ) \dots ( n + m )}

\frac{( 8 n - 1 ) !}{( 8 n + 1 ) !} = \frac{1}{8 n ( 8 n + 1 )}

= \frac{1}{8 n ( 8 n + 1 )}

7 (5 a - 4) - 1 = 14 - 8 a

2 (x - 5) = 3 x + 3

\frac{2}{9} (x - 1) \leq \frac{x}{18} + \frac{2}{9}

y (ab + 4) - 3 (4 + ab)

10 a^{2} - 9 a - 9

What is ((8n-1)!)/((8n+1)!) ?
The solution to ((8n-1)!)/((8n+1)!) is 1/(8n(8n+1))