erweitern 20(4x^3-3x)^{19}(12x^2-3)

Lösung

erweitern

20 (4 x^{3} - 3 x)^{19} (12 x^{2} - 3)

20 \cdot 12 x^{2} (4 x^{3} - 3 x)^{19} - 20 \cdot 3 (4 x^{3} - 3 x)^{19}

Schritte zur Lösung

20 (4 x^{3} - 3 x)^{19} (12 x^{2} - 3)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = 20 (4 x^{3} - 3 x)^{19}, b = 12 x^{2}, c = 3

= 20 (4 x^{3} - 3 x)^{19} \cdot 12 x^{2} - 20 (4 x^{3} - 3 x)^{19} \cdot 3

= 20 \cdot 12 x^{2} (4 x^{3} - 3 x)^{19} - 20 \cdot 3 (4 x^{3} - 3 x)^{19}

e x p an d e^{2 t} (7 sin (t) - cosh (3 t))

e x p an d n gu l a r (- 2, - \frac{π}{3})

e x p an d (k + 1)! \cdot (k + 2)

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

e x p an d \frac{( x ^{2} - 3 x + 10 )}{( x - 2 ) ( x ^{2} + 4 )}