erweitern (x-2/3)^3

Lösung

erweitern

(x - \frac{2}{3})^{3}

\frac{27 x ^{3} - 54 x ^{2} + 36 x - 8}{27}

Schritte zur Lösung

(x - \frac{2}{3})^{3}

Wende Formel für perfekte dritte Potenzen an:

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

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

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

Vereinfache

x^{3} - 3 x^{2} \frac{2}{3} + 3 x (\frac{2}{3})^{2} - (\frac{2}{3})^{3} : \frac{27 x ^{3} - 54 x ^{2} + 36 x - 8}{27}

= \frac{27 x ^{3} - 54 x ^{2} + 36 x - 8}{27}

e x p an d (1 - i) (2, - 1)

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

s im pl i f y (3 z - 2) (4 z + 3)

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

e x p an d x (3 x - 10) - 31