What is expand ((a+2)+(a+3)!)/((a+2)!(a+4)) ?

The solution to expand ((a+2)+(a+3)!)/((a+2)!(a+4)) is (a+2+(a+3)!)/(a(a+2)!+4(a+2)!)

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expand ((a+2)+(a+3)!)/((a+2)!(a+4))

expand

\frac{( a + 2 ) + ( a + 3 ) !}{( a + 2 ) ! ( a + 4 )}

\frac{a + 2 + ( a + 3 ) !}{a ( a + 2 ) ! + 4 ( a + 2 ) !}

Solution steps

\frac{( a + 2 ) + ( a + 3 ) !}{( a + 2 ) ! ( a + 4 )}

Remove parentheses:

(a) = a

= \frac{a + 2 + ( a + 3 ) !}{( a + 2 ) ! ( a + 4 )}

Expand

(a + 2)! (a + 4) : a (a + 2)! + 4 (a + 2)!

= \frac{a + 2 + ( a + 3 ) !}{a ( a + 2 ) ! + 4 ( a + 2 ) !}

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

\frac{( x ^{k} )}{( k + 4 ) 4 ^{k}}

\frac{( sec ( θ ) ) ( 1 + tan ( θ ) )}{sec ( θ ) + csc ( θ )}

What is expand ((a+2)+(a+3)!)/((a+2)!(a+4)) ?
The solution to expand ((a+2)+(a+3)!)/((a+2)!(a+4)) is (a+2+(a+3)!)/(a(a+2)!+4(a+2)!)