erweitern cos(x^2+2)*2x(x^2+2)

Lösung

erweitern

cos (x^{2} + 2) \cdot 2 x (x^{2} + 2)

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

Schritte zur Lösung

cos (x^{2} + 2) \cdot 2 x (x^{2} + 2)

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

2 x cos (x^{2} + 2) (x^{2} + 2) = 2 x cos (x^{2} + 2) x^{2} + 2 x cos (x^{2} + 2) \cdot 2

= 2 x cos (x^{2} + 2) x^{2} + 2 x cos (x^{2} + 2) \cdot 2

Vereinfache

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

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

e x p an d (5 cos (θ) - 3 sin (x))^{2}

s im pl i f y 6 (\frac{x ^{3}}{3} + 2 x^{2} + 4 x)

e x p an d (2 e^{4 t} - 5)^{2}

e x p an d \frac{2 ( n + 1 )}{n - 1}

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