What is expand ((a+2)!+a!+(a+1)!)/((a+2)*a!) ?

The solution to expand ((a+2)!+a!+(a+1)!)/((a+2)*a!) is ((a+2)!+a!+(a+1)!)/(aa!+2a!)

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expand ((a+2)!+a!+(a+1)!)/((a+2)*a!)

expand

\frac{( a + 2 ) ! + a ! + ( a + 1 ) !}{( a + 2 ) \cdot a !}

\frac{( a + 2 ) ! + a ! + ( a + 1 ) !}{aa ! + 2 a !}

Solution steps

\frac{( a + 2 ) ! + a ! + ( a + 1 ) !}{( a + 2 ) a !}

Expand

(a + 2) a! : aa! + 2 a!

= \frac{( a + 2 ) ! + a ! + ( a + 1 ) !}{aa ! + 2 a !}

\frac{2 s ^{3} - 26 s ^{2} + 102 s - 124}{( s - 3 ) ^{3} ( s - 4 )}

\frac{\partial}{\partial y} (5 e^{y}) + e^{y} (5 x + 5 y)

\frac{( 2 x ^{2} )}{( 1 - x ) ^{2}}

\frac{d}{d s} ((x (s, t)) (\frac{s}{2} - 3 sin (s - 2 t)))

(1 - cos (a))^{2}

What is expand ((a+2)!+a!+(a+1)!)/((a+2)*a!) ?
The solution to expand ((a+2)!+a!+(a+1)!)/((a+2)*a!) is ((a+2)!+a!+(a+1)!)/(aa!+2a!)