erweitern-csc^2(x)cot(x)(csc^2(x)-cot(x))

Lösung

erweitern

- csc^{2} (x) cot (x) (csc^{2} (x) - cot (x))

- csc^{4} (x) cot (x) + csc^{2} (x) cot^{2} (x)

Schritte zur Lösung

- csc^{2} (x) cot (x) (csc^{2} (x) - cot (x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

- csc^{2} (x) cot (x) (csc^{2} (x) - cot (x)) = - csc^{2} (x) cot (x) csc^{2} (x) - (- csc^{2} (x) cot (x)) cot (x)

= - csc^{2} (x) cot (x) csc^{2} (x) - (- csc^{2} (x) cot (x)) cot (x)

Vereinfache

- csc^{2} (x) cot (x) csc^{2} (x) - (- csc^{2} (x) cot (x)) cot (x) : - csc^{4} (x) cot (x) + csc^{2} (x) cot^{2} (x)

= - csc^{4} (x) cot (x) + csc^{2} (x) cot^{2} (x)

e x p an d 18 π (1 + \frac{π}{4})

s im pl i f y (x^{2} - \frac{3 y}{4} + \frac{9}{7}) (\frac{x}{2} + \frac{3 y}{5} - 2)

e x p an d h (4 x + h + 4 x)

s im pl i f y (1 + x - 5)^{2}

e x p an d (3 x - 2)^{3} 4 x + 1