erweitern (cos(x)-1/3 cos^3(x))cos(x)

Lösung

erweitern

(cos (x) - \frac{1}{3} cos^{3} (x)) cos (x)

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

Schritte zur Lösung

(cos (x) - \frac{1}{3} cos^{3} (x)) cos (x)

= cos (x) (cos (x) - \frac{1}{3} cos^{3} (x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

cos (x) (cos (x) - \frac{1}{3} cos^{3} (x)) = cos (x) cos (x) - cos (x) \frac{1}{3} cos^{3} (x)

= cos (x) cos (x) - cos (x) \frac{1}{3} cos^{3} (x)

cos (x) cos (x) = cos^{2} (x)

cos (x) \frac{1}{3} cos^{3} (x) = \frac{1}{3} cos^{4} (x)

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

s im pl i f y (- 1 - x) (\frac{1}{3} - x)

s im pl i f y x (x - 2 - 5) (x - 2 + 5)

e x p an d (x^{3} + 3)^{6} (3 x^{2}) d x

e x p an d ln (2 x) (x ln (3 x) - x)

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