erweitern 16cos^4(2t)u(t-pi/4)

Lösung

erweitern

16 cos^{4} (2 t) u (t - \frac{π}{4})

16 t u cos^{4} (2 t) - 4 π u cos^{4} (2 t)

Schritte zur Lösung

16 cos^{4} (2 t) u (t - \frac{π}{4})

= 16 u cos^{4} (2 t) (t - \frac{π}{4})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = 16 cos^{4} (2 t) u, b = t, c = \frac{π}{4}

= 16 cos^{4} (2 t) u t - 16 cos^{4} (2 t) u \frac{π}{4}

= 16 t u cos^{4} (2 t) - 16 \cdot \frac{π}{4} u cos^{4} (2 t)

16 \cdot \frac{π}{4} u cos^{4} (2 t) = 4 π u cos^{4} (2 t)

= 16 t u cos^{4} (2 t) - 4 π u cos^{4} (2 t)

e x p an d 2 (3 - 3)

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

e x p an d lo g_{10} (8 \frac{s}{t})

e x p an d (sin (θ) + cos (θ)) (sin (x) - cos (x))

e x p an d (x + 2) sin (x^{2} + 4 x + 17)