erweitern ((x-4)(125x-500))/6

Lösung

erweitern

\frac{( x - 4 ) ( 125 x - 500 )}{6}

\frac{125 x ^{2}}{6} - \frac{500 x}{3} + \frac{1000}{3}

Schritte zur Lösung

\frac{( x - 4 ) ( 125 x - 500 )}{6}

Multipliziere aus

(x - 4) (125 x - 500) : 125 x^{2} - 1000 x + 2000

= \frac{125 x ^{2} - 1000 x + 2000}{6}

Wende Bruchregel an:

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

\frac{125 x ^{2} - 1000 x + 2000}{6} = \frac{125 x ^{2}}{6} - \frac{1000 x}{6} + \frac{2000}{6}

= \frac{125 x ^{2}}{6} - \frac{1000 x}{6} + \frac{2000}{6}

Streiche

\frac{1000 x}{6} : \frac{500 x}{3}

= \frac{125 x ^{2}}{6} - \frac{500 x}{3} + \frac{2000}{6}

Streiche

\frac{2000}{6} : \frac{1000}{3}

= \frac{125 x ^{2}}{6} - \frac{500 x}{3} + \frac{1000}{3}

e x p an d \frac{( 1 + e ^{x} )}{x ^{4}}

e x p an d - 2 (3 x + 2 y = 29)

e x p an d x y d x + (2 x^{2} + 3 y^{2} - 20) d y

e x p an d \frac{( 2 + x ) ^{2}}{25}

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