erweitern (3e^x-x^2)(3x^2)

Lösung

erweitern

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

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

Schritte zur Lösung

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

Wende das Distributivgesetz an:

a (b - c) = ab - a c

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

= (3 x^{2}) \cdot 3 e^{x} - (3 x^{2}) x^{2}

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

Vereinfache

3 e^{x} (3 x^{2}) - x^{2} (3 x^{2}) : 9 e^{x} x^{2} - 3 x^{4}

= 9 e^{x} x^{2} - 3 x^{4}

s im pl i f y \frac{1}{( 1 - 3 i ) ^{4}}

e x p an d lo g_{2} (32)

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

e x p an d lo g_{10} (10000 z)

e x p an d \frac{( 3 x - 5 ) ( 4 x + 1 )}{( 2 x + 3 ) ( 5 x - 2 )}