erweitern (x^2+4)cos(x)

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

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

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

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

e x p an d \frac{( 3 z - 1 ) ^{5}}{3 ( 3 z + 2 ) ^{4}}

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

e x p an d (6 - 2 x) (\frac{7}{2} - 2 x) x

s im pl i f y 15 x + \frac{( 3 - 6 ) x ^{2}}{4}

e x p an d \frac{\partial}{\partial x} (5 e^{y}) + e^{y} (5 x + 5 y)