展开 ((k+2)!+(k+1)(k+1)!)/((k+1)!+(k+2)!)

解答

展开

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

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

求解步骤

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

乘开

(k + 2)! + (k + 1) (k + 1)! : (k + 2)! + k (k + 1)! + (k + 1)!

= \frac{( k + 2 ) ! + k ( k + 1 ) ! + ( k + 1 ) !}{( k + 1 ) ! + ( k + 2 ) !}

s im pl i f y 2 x (4 x - 1) (2 x + 9) (x - 5) (x + 5)

e x p an d (s - 1) (s + 1 + j^{2} π) (s + 1 - j^{2} π)

e x p an d 2 ln^{2} (2) - 2 (2 ln (2) - 2)

e x p an d \frac{10 x ^{3} - 6 x ^{2} + 15}{( x ^{3} - 3 ) ^{2}}

e x p an d (2 n - 3) x + 5 n (x - 4 = 3)