erweitern (e^2sin^2(t)-3cos^2(t))(-sin(t))

Lösung

erweitern

(e^{2} sin^{2} (t) - 3 cos^{2} (t)) (- sin (t))

- e^{2} sin^{3} (t) + 3 cos^{2} (t) sin (t)

Schritte zur Lösung

(e^{2} sin^{2} (t) - 3 cos^{2} (t)) (- sin (t))

= (- sin (t)) (e^{2} sin^{2} (t) - 3 cos^{2} (t))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = (- sin (t)), b = e^{2} sin^{2} (t), c = 3 cos^{2} (t)

= (- sin (t)) e^{2} sin^{2} (t) - (- sin (t)) \cdot 3 cos^{2} (t)

= e^{2} (- sin (t)) sin^{2} (t) - 3 (- sin (t)) cos^{2} (t)

Vereinfache

e^{2} (- sin (t)) sin^{2} (t) - 3 (- sin (t)) cos^{2} (t) : - e^{2} sin^{3} (t) + 3 cos^{2} (t) sin (t)

= - e^{2} sin^{3} (t) + 3 cos^{2} (t) sin (t)

e x p an d \frac{s ^{2} + 5 - e ^{- s}}{s ( s ^{2} + 9 )}

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

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

e x p an d (sin (x) - 1) ln (tan (x))

e x p an d a (25, 12) b (6, - 13)