erweitern (3(1-cos(x))^2-5(1-cos(x))+3)*(cos(x)-1)

Lösung

erweitern

(3 (1 - cos (x))^{2} - 5 (1 - cos (x)) + 3) \cdot (cos (x) - 1)

2 cos (x) + 3 cos^{3} (x) - 4 cos^{2} (x) - 1

Schritte zur Lösung

(3 (1 - cos (x))^{2} - 5 (1 - cos (x)) + 3) (cos (x) - 1)

Setze Klammern

= 3 (1 - cos (x))^{2} cos (x) + 3 (1 - cos (x))^{2} (- 1) - 5 (1 - cos (x)) cos (x) - 5 (1 - cos (x)) (- 1) + 3 cos (x) + 3 (- 1)

Vereinfache

3 (1 - cos (x))^{2} cos (x) + 3 (1 - cos (x))^{2} (- 1) - 5 (1 - cos (x)) cos (x) - 5 (1 - cos (x)) (- 1) + 3 cos (x) + 3 (- 1) : 2 cos (x) + 3 cos^{3} (x) - 4 cos^{2} (x) - 1

= 2 cos (x) + 3 cos^{3} (x) - 4 cos^{2} (x) - 1

e x p an d (3 + 2 cos (θ))^{2}

e x p an d (2 sin (θ) + cos (θ))^{2}

e x p an d \frac{[ ( k + 1 ) ( 3 k + 4 ) ]}{2}

e x p an d 6 + e^{0.3 x^{2}} \cdot (2 - 1.2 x^{2})

s im pl i f y (2 sin (x) + 2 cos (x))^{2}