erweitern e^{4x^3-7x^2}(24x^2-28x)

Lösung

erweitern

e^{4 x^{3} - 7 x^{2}} (24 x^{2} - 28 x)

24 e^{4 x^{3} - 7 x^{2}} x^{2} - 28 e^{4 x^{3} - 7 x^{2}} x

Schritte zur Lösung

e^{4 x^{3} - 7 x^{2}} (24 x^{2} - 28 x)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = e^{4 x^{3} - 7 x^{2}}, b = 24 x^{2}, c = 28 x

= e^{4 x^{3} - 7 x^{2}} \cdot 24 x^{2} - e^{4 x^{3} - 7 x^{2}} \cdot 28 x

= 24 e^{4 x^{3} - 7 x^{2}} x^{2} - 28 e^{4 x^{3} - 7 x^{2}} x

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

s im pl i f y (F (\frac{L}{3} - x) - \frac{w ( 5 x - 2 L ) ^{2}}{50}) (\frac{L}{3} - x)

s im pl i f y (x - 3) (x + 1 + 2) (x + 1 - 2)

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

e x p an d π (- 48 ln (2) + 54)