erweitern (tsin(t))*(sin(t)+tcos(t))

Lösung

erweitern

(t sin (t)) \cdot (sin (t) + t cos (t))

t sin^{2} (t) + t^{2} cos (t) sin (t)

Schritte zur Lösung

(t sin (t)) (sin (t) + t cos (t))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

(t sin (t)) (sin (t) + t cos (t)) = t sin (t) sin (t) + t sin (t) t cos (t)

= t sin (t) sin (t) + t sin (t) t cos (t)

Vereinfache

t sin (t) sin (t) + t sin (t) t cos (t) : t sin^{2} (t) + t^{2} cos (t) sin (t)

= t sin^{2} (t) + t^{2} cos (t) sin (t)

e x p an d \frac{1 - e ^{- s}}{s ( s ^{2} + 2 s + 26 )}

e x p an d cos (θ) (1 + sin (θ))

s im pl i f y (cot (x) + 1) (2 (sin (x)) + 3)

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

e x p an d π (r_{0} - a t)^{2}