erweitern (x-sqrt(x))^3

Lösung

erweitern

(x - x)^{3}

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

Schritte zur Lösung

(x - x)^{3}

Wende Formel für perfekte dritte Potenzen an:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

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

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

Vereinfache

x^{3} - 3 x^{2} x + 3 x (x)^{2} - (x)^{3} : x^{3} - 3 x^{2} x + 3 x^{2} - x x

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

e x p an d (1 + y e^{x y}) d x + (2 y + x e^{x y}) d y

e x p an d (4 x^{3} y^{3} - 2 x y) d x + (3 x^{4} y^{2} - x^{2}) d y

s im pl i f y 10 (lo g_{10} (61) + 12)

e x p an d \frac{d}{d x} (2) - e^{x} (x - 7)

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