erweitern (4+x)x^3e^{4x}

Lösung

erweitern

(4 + x) x^{3} e^{4 x}

4 e^{4 x} x^{3} + e^{4 x} x^{4}

Schritte zur Lösung

(4 + x) x^{3} e^{4 x}

= e^{4 x} x^{3} (4 + x)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = x^{3} e^{4 x}, b = 4, c = x

= x^{3} e^{4 x} \cdot 4 + x^{3} e^{4 x} x

= 4 e^{4 x} x^{3} + e^{4 x} x^{3} x

e^{4 x} x^{3} x = e^{4 x} x^{4}

= 4 e^{4 x} x^{3} + e^{4 x} x^{4}

e x p an d A (5, - 3) B (5, 3)

e x p an d (2 x^{2} + \frac{3}{x})^{10}

e x p an d (θ - sin (θ))^{3} - 0.6131 (1 - cos (θ))

\frac{\partial}{\partial s} ((w) (2 (r^{2} + s^{2})))

e x p an d \frac{( e ^{(a t)} + e ^{(- a t)} ) \cdot e ^{(- s t)}}{2}