erweitern (2(-8x^3+72x^2-216x+216))/(27)

Lösung

erweitern

\frac{2 ( - 8 x ^{3} + 72 x ^{2} - 216 x + 216 )}{27}

- \frac{16 x ^{3}}{27} + \frac{16 x ^{2}}{3} - 16 x + 16

Schritte zur Lösung

\frac{2 ( - 8 x ^{3} + 72 x ^{2} - 216 x + 216 )}{27}

Multipliziere aus

2 (- 8 x^{3} + 72 x^{2} - 216 x + 216) : - 16 x^{3} + 144 x^{2} - 432 x + 432

= \frac{- 16 x ^{3} + 144 x ^{2} - 432 x + 432}{27}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 16 x ^{3} + 144 x ^{2} - 432 x + 432}{27} = - \frac{16 x ^{3}}{27} + \frac{144 x ^{2}}{27} - \frac{432 x}{27} + \frac{432}{27}

= - \frac{16 x ^{3}}{27} + \frac{144 x ^{2}}{27} - \frac{432 x}{27} + \frac{432}{27}

Streiche

\frac{144 x ^{2}}{27} : \frac{16 x ^{2}}{3}

= - \frac{16 x ^{3}}{27} + \frac{16 x ^{2}}{3} - \frac{432 x}{27} + \frac{432}{27}

Teile die Zahlen:

\frac{432}{27} = 16

= - \frac{16 x ^{3}}{27} + \frac{16 x ^{2}}{3} - 16 x + 16

e x p an d x e^{x} (x e^{x} - 1)

e x p an d 6 (a^{6} - b^{6}) - 3 a^{2} b^{2} (a^{2} - b^{2})

e x p an d (3 e^{5 t} - 2 e^{4 t}) (15 e^{5 t} - 8 e^{4 t})

e x p an d \frac{x ^{2} ( - \frac{x}{2} + 4 ) ^{4}}{32}

e x p an d \frac{f ( x + h ) - 8 x + 2}{h}