erweitern (3x^2-4)*cos(x^3+2x^2+10)

Lösung

erweitern

(3 x^{2} - 4) \cdot cos (x^{3} + 2 x^{2} + 10)

3 x^{2} cos (x^{3} + 2 x^{2} + 10) - 4 cos (x^{3} + 2 x^{2} + 10)

Schritte zur Lösung

(3 x^{2} - 4) cos (x^{3} + 2 x^{2} + 10)

= cos (x^{3} + 2 x^{2} + 10) (3 x^{2} - 4)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

cos (x^{3} + 2 x^{2} + 10) (3 x^{2} - 4) = cos (x^{3} + 2 x^{2} + 10) \cdot 3 x^{2} - cos (x^{3} + 2 x^{2} + 10) \cdot 4

= cos (x^{3} + 2 x^{2} + 10) \cdot 3 x^{2} - cos (x^{3} + 2 x^{2} + 10) \cdot 4

= 3 x^{2} cos (x^{3} + 2 x^{2} + 10) - 4 cos (x^{3} + 2 x^{2} + 10)

e x p an d (- e^{- x} cos (4 x) - 4 e^{- x} sin (4 x))^{2}

e x p an d (\frac{2}{3} b + \frac{3}{4})^{3}

e x p an d (14 tan (θ) - 5) (17 tan (θ) + 16)

e x p an d y sec (x) d x - (y + 1) tan (x) d y

s im pl i f y (72 + x) (72 - x)