erweitern ((-24x^2+12x-15)(4x-1))/(16)

Lösung

erweitern

\frac{( - 24 x ^{2} + 12 x - 15 ) ( 4 x - 1 )}{16}

- 6 x^{3} + \frac{9 x ^{2}}{2} - \frac{9 x}{2} + \frac{15}{16}

Schritte zur Lösung

\frac{( - 24 x ^{2} + 12 x - 15 ) ( 4 x - 1 )}{16}

Multipliziere aus

(- 24 x^{2} + 12 x - 15) (4 x - 1) : - 96 x^{3} + 72 x^{2} - 72 x + 15

= \frac{- 96 x ^{3} + 72 x ^{2} - 72 x + 15}{16}

Wende Bruchregel an:

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

\frac{- 96 x ^{3} + 72 x ^{2} - 72 x + 15}{16} = - \frac{96 x ^{3}}{16} + \frac{72 x ^{2}}{16} - \frac{72 x}{16} + \frac{15}{16}

= - \frac{96 x ^{3}}{16} + \frac{72 x ^{2}}{16} - \frac{72 x}{16} + \frac{15}{16}

Teile die Zahlen:

\frac{96}{16} = 6

= - 6 x^{3} + \frac{72 x ^{2}}{16} - \frac{72 x}{16} + \frac{15}{16}

Streiche

\frac{72 x ^{2}}{16} : \frac{9 x ^{2}}{2}

= - 6 x^{3} + \frac{9 x ^{2}}{2} - \frac{72 x}{16} + \frac{15}{16}

Streiche

\frac{72 x}{16} : \frac{9 x}{2}

= - 6 x^{3} + \frac{9 x ^{2}}{2} - \frac{9 x}{2} + \frac{15}{16}

e x p an d (2 x - 3 y) (\frac{1}{2}, \frac{3}{2})

e x p an d (x + ln^{2} (x))^{3}

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

f a c t or x^{4} (δ (x - 2)) d x

e x p an d 3 \cdot (7 \cdot 4 y)