erweitern x^3*e^{3x^2}(2x+3)

Lösung

erweitern

x^{3} \cdot e^{3 x^{2}} (2 x + 3)

2 e^{3 x^{2}} x^{4} + 3 e^{3 x^{2}} x^{3}

Schritte zur Lösung

x^{3} e^{3 x^{2}} (2 x + 3)

= e^{3 x^{2}} x^{3} (2 x + 3)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = x^{3} e^{3 x^{2}}, b = 2 x, c = 3

= x^{3} e^{3 x^{2}} \cdot 2 x + x^{3} e^{3 x^{2}} \cdot 3

= 2 e^{3 x^{2}} x^{3} x + 3 e^{3 x^{2}} x^{3}

2 e^{3 x^{2}} x^{3} x = 2 e^{3 x^{2}} x^{4}

= 2 e^{3 x^{2}} x^{4} + 3 e^{3 x^{2}} x^{3}

e x p an d 6 (- e^{3 x} (2 sin (2 x) - 3 cos (2 x)))

e x p an d (sec (x) + tan (x))^{3} (sec (x) - tan (x))^{4}

s im pl i f y ((cos (θ) + i sin (θ)))^{3}

e x p an d c H (r (o, s, x), o, s, x) a d r (o, s, x) a d os (x - 2 x = 6)

s im pl i f y \frac{12.9}{( s + 1.1 ) ( s + 2 )}