erweitern 20(1+x)e^{(4)(x^3)(1+x)}

Lösung

erweitern

20 (1 + x) e^{(4) (x^{3}) (1 + x)}

20 e^{4 x^{3} + 4 x^{4}} + 20 e^{4 x^{3} + 4 x^{4}} x

Schritte zur Lösung

20 (1 + x) e^{(4) (x^{3}) (1 + x)}

= 20 e^{(4) (x^{3}) (1 + x)} (1 + x)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = 20 e^{(4) (x^{3}) (1 + x)}, b = 1, c = x

= 20 e^{(4) (x^{3}) (1 + x)} \cdot 1 + 20 e^{(4) (x^{3}) (1 + x)} x

= 20 \cdot 1 \cdot e^{(4) (x^{3}) (1 + x)} + 20 e^{(4) (x^{3}) (1 + x)} x

Vereinfache

20 \cdot 1 \cdot e^{(4) (x^{3}) (1 + x)} + 20 e^{(4) (x^{3}) (1 + x)} x : 20 e^{4 x^{3} + 4 x^{4}} + 20 e^{4 x^{3} + 4 x^{4}} x

= 20 e^{4 x^{3} + 4 x^{4}} + 20 e^{4 x^{3} + 4 x^{4}} x

e x p an d e^{(t - 6)} h (t - 6)

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

e x p an d 6 x (ln (x) - 1)

e x p an d \frac{7 ( 23 161 - 49 )}{24}

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