erweitern (x^2(-10x^3+3x^2-60x))/(20)

Lösung

erweitern

\frac{x ^{2} ( - 10 x ^{3} + 3 x ^{2} - 60 x )}{20}

- \frac{x ^{5}}{2} + \frac{3 x ^{4}}{20} - 3 x^{3}

Schritte zur Lösung

\frac{x ^{2} ( - 10 x ^{3} + 3 x ^{2} - 60 x )}{20}

Multipliziere aus

x^{2} (- 10 x^{3} + 3 x^{2} - 60 x) : - 10 x^{5} + 3 x^{4} - 60 x^{3}

= \frac{- 10 x ^{5} + 3 x ^{4} - 60 x ^{3}}{20}

Wende Bruchregel an:

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

\frac{- 10 x ^{5} + 3 x ^{4} - 60 x ^{3}}{20} = - \frac{10 x ^{5}}{20} + \frac{3 x ^{4}}{20} - \frac{60 x ^{3}}{20}

= - \frac{10 x ^{5}}{20} + \frac{3 x ^{4}}{20} - \frac{60 x ^{3}}{20}

Streiche

\frac{10 x ^{5}}{20} : \frac{x ^{5}}{2}

= - \frac{x ^{5}}{2} + \frac{3 x ^{4}}{20} - \frac{60 x ^{3}}{20}

Teile die Zahlen:

\frac{60}{20} = 3

= - \frac{x ^{5}}{2} + \frac{3 x ^{4}}{20} - 3 x^{3}

\frac{d}{d x} ((z) (x^{2} + y^{2} - 2 z^{2} + 12 x - 8 z - 4))

e x p an d e^{2 (x + 1 - l n ∣ x + 1 ∣)}

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

e x p an d (2, 0, 2,) \cdot (x, 4, - 1) \cdot (3, 2, 1)

\frac{d ^{2}}{d x ^{2}} ((y) (2 x^{2} - 4))