erweitern e^{2x^2-3x+2}(4x-3)

Lösung

erweitern

e^{2 x^{2} - 3 x + 2} (4 x - 3)

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

Schritte zur Lösung

e^{2 x^{2} - 3 x + 2} (4 x - 3)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = e^{2 x^{2} - 3 x + 2}, b = 4 x, c = 3

= e^{2 x^{2} - 3 x + 2} \cdot 4 x - e^{2 x^{2} - 3 x + 2} \cdot 3

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

e x p an d \frac{3 ( 99 + 2 165 )}{277}

e x p an d (a x^{2} + b x) (d cos (x) + e sin (x))

e x p an d \frac{x ^{2} + 20 x + 1}{( x + 1 ) ^{2}}

e x p an d 4 e^{x} (e^{2 x} - e^{x})

e x p an d l im x \Rightarrow 2 (3 x^{2} - 5 x + 2)