vereinfachen sqrt((n)(n+2)(n+4)(n+6)+16)

Lösung

vereinfachen

(n) (n + 2) (n + 4) (n + 6) + 16

n^{4} + 12 n^{3} + 44 n^{2} + 48 n + 16

Schritte zur Lösung

(n) (n + 2) (n + 4) (n + 6) + 16

Apply rule:

(a) = a

(n) = n

= n (n + 2) (n + 4) (n + 6) + 16

Schreibe

n (n + 2) (n + 4) (n + 6) + 16

um:

n^{4} + 12 n^{3} + 44 n^{2} + 48 n + 16

= n^{4} + 12 n^{3} + 44 n^{2} + 48 n + 16

e x p an d \frac{6 n - 3 - 24 n ^{2} + 44 n - 39}{2 ( 3 n - 2 )}

e x p an d \frac{( 5 x ^{2} - x - 1 )}{( x + 1 ) ( x ^{2} + 4 )}

s im pl i f y (x - 1 - x)^{2}

s im pl i f y K (1 + A + \frac{- A - 2 B}{z} + B + \frac{B}{z ^{2}}) \cdot 0.01397

e x p an d \frac{( e ^{- s} - 2 e ^{- 2 s} )}{s ^{2} ( s ^{2} + s )}