erweitern (sqrt(2)sech^2(x))(1-sqrt(2)tanh(x))

Lösung

erweitern

(2 sech^{2} (x)) (1 - 2 tanh (x))

2 sech^{2} (x) - 2 sech^{2} (x) tanh (x)

Schritte zur Lösung

(2 sech^{2} (x)) (1 - 2 tanh (x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

(2 sech^{2} (x)) (1 - 2 tanh (x)) = 2 sech^{2} (x) \cdot 1 - 2 sech^{2} (x) 2 tanh (x)

= 2 sech^{2} (x) \cdot 1 - 2 sech^{2} (x) 2 tanh (x)

Vereinfache

2 sech^{2} (x) \cdot 1 - 2 sech^{2} (x) 2 tanh (x) : 2 sech^{2} (x) - 2 sech^{2} (x) tanh (x)

= 2 sech^{2} (x) - 2 sech^{2} (x) tanh (x)

e x p an d \frac{2 x ^{2} + 4 x + 2}{( x - 3 ) ( x + 2 )}

e x p an d (1 + 2 sin (t)) (2 cos (t))

s im pl i f y 30.412 (x - 5) (\frac{x - 5}{2} + 5)

e x p an d e^{x^{2} + 1} \cdot (1 + 2 \cdot x^{2})

e x p an d \frac{n ^{2} ( n - 1 ) ^{2}}{2}