erweitern (5(-x+4))/(x^3)

Lösung

erweitern

\frac{5 ( - x + 4 )}{x ^{3}}

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

Schritte zur Lösung

\frac{5 ( - x + 4 )}{x ^{3}}

Multipliziere aus

5 (- x + 4) : - 5 x + 20

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

Wende Bruchregel an:

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

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

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

Streiche

\frac{5 x}{x ^{3}} : \frac{5}{x ^{2}}

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

e x p an d (\frac{- 20 - 2 y}{7})^{2}

e x p an d \frac{2 s ^{2} + 6 s + 5}{( s + 2 ) ( s + 1 )}

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

e x p an d (19 x^{2} - 2)^{\circ} (13 x - 9) (3)

e x p an d \frac{9 x}{( x + 7 ) ( x - 8 )}