erweitern (f\circ g)(2x^2+x)

Lösung

erweitern

(f \circ g) (2 x^{2} + x)

2 \circ f g x^{2} + \circ f gx

Schritte zur Lösung

(f \circ g) (2 x^{2} + x)

= (\circ f g) (2 x^{2} + x)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = (f \circ g), b = 2 x^{2}, c = x

= (f \circ g) \cdot 2 x^{2} + (f \circ g) x

= 2 x^{2} (\circ f g) + x (\circ f g)

Entferne die Klammern:

(a) = a

= 2 \circ f g x^{2} + \circ f gx

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

e x p an d d x [x (5 x^{4} - 7 x^{2} - 3)]

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

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

e x p an d (2 x + \frac{1}{3 x})^{18}