erweitern (x-2)tan^2(3x-21)csc^2(x^2-9x+14)

Lösung

erweitern

(x - 2) tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14)

x tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) - 2 tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14)

Schritte zur Lösung

(x - 2) tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14)

= tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) (x - 2)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) (x - 2) = tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) x - tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) \cdot 2

= tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) x - tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) \cdot 2

= x tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) - 2 tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14)

s im pl i f y e^{(2 + i) t}

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

e x p an d \frac{1}{s ( s + 4 ) ( s + 8 )}

e x p an d y^{\frac{1}{3}} (y^{\frac{1}{3}} - y^{\frac{2}{5}})

e x p an d 1 0^{6}