erweitern (3+cos(θ))^30.3

Lösung

erweitern

(3 + cos (θ))^{3} 0.3

8.1 + 8.1 cos (θ) + 2.7 cos^{2} (θ) + 0.3 cos^{3} (θ)

Schritte zur Lösung

(3 + cos (θ))^{3} \cdot 0.3

= 0.3 (3 + cos (θ))^{3}

Schreibe

(3 + cos (θ))^{3}

um:

27 + 27 cos (θ) + 9 cos^{2} (θ) + cos^{3} (θ)

= 0.3 (27 + 27 cos (θ) + 9 cos^{2} (θ) + cos^{3} (θ))

Setze Klammern

= 0.3 \cdot 27 + 0.3 \cdot 27 cos (θ) + 0.3 \cdot 9 cos^{2} (θ) + 0.3 cos^{3} (θ)

Vereinfache

0.3 \cdot 27 + 0.3 \cdot 27 cos (θ) + 0.3 \cdot 9 cos^{2} (θ) + 0.3 cos^{3} (θ) : 8.1 + 8.1 cos (θ) + 2.7 cos^{2} (θ) + 0.3 cos^{3} (θ)

= 8.1 + 8.1 cos (θ) + 2.7 cos^{2} (θ) + 0.3 cos^{3} (θ)

e x p an d \frac{( x + 3 ) ( x - 8 )}{x}

s im pl i f y \frac{1}{2} (arcsin (x) - \frac{1}{2} sin (2 arcsin (x))) + C

e x p an d (x + h)^{4} - 12

e x p an d (x + 2) d x + (2 x + y) d y

e x p an d (3 x - 1)^{3} ln (- 4 yz) - (7 x^{3} y^{2})