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

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

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

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

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

e^{x} x^{2} x = e^{x} x^{3}

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

e x p an d 36 x^{\frac{1}{6}} y^{\frac{5}{6}} - λ (3 x + 5 y - 60)

e x p an d lo g_{10} (x^{2} (x + 2))

e x p an d \frac{4 x ^{2} + 6 x + 11}{( x + 2 ) ( x ^{2} + x + 3 )}

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

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