erweitern (e^{2x^3+6x^2-48x})*(6x^2+12x-48)

Lösung

erweitern

(e^{2 x^{3} + 6 x^{2} - 48 x}) \cdot (6 x^{2} + 12 x - 48)

6 e^{2 x^{3} + 6 x^{2} - 48 x} x^{2} + 12 e^{2 x^{3} + 6 x^{2} - 48 x} x - 48 e^{2 x^{3} + 6 x^{2} - 48 x}

Schritte zur Lösung

(e^{2 x^{3} + 6 x^{2} - 48 x}) (6 x^{2} + 12 x - 48)

Setze Klammern

= (e^{2 x^{3} + 6 x^{2} - 48 x}) \cdot 6 x^{2} + (e^{2 x^{3} + 6 x^{2} - 48 x}) \cdot 12 x + (e^{2 x^{3} + 6 x^{2} - 48 x}) (- 48)

Wende Minus-Plus Regeln an

+ (- a) = - a

= 6 x^{2} (e^{2 x^{3} + 6 x^{2} - 48 x}) + 12 x (e^{2 x^{3} + 6 x^{2} - 48 x}) - 48 (e^{2 x^{3} + 6 x^{2} - 48 x})

Entferne die Klammern:

(a) = a

= 6 e^{2 x^{3} + 6 x^{2} - 48 x} x^{2} + 12 e^{2 x^{3} + 6 x^{2} - 48 x} x - 48 e^{2 x^{3} + 6 x^{2} - 48 x}

s im pl i f y x^{4} (1 - \frac{2}{x - 1})

e x p an d y^{2} e^{y} (1 + \frac{2}{y}) sin (x)

e x p an d \frac{4}{( 4 - x ) ^{3}}

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

e x p an d \frac{10 ( 1229 - 2 )}{49}