erweitern ((x-8)*(x-9))/(30)

Lösung

erweitern

\frac{( x - 8 ) \cdot ( x - 9 )}{30}

\frac{x ^{2}}{30} - \frac{17 x}{30} + \frac{12}{5}

Schritte zur Lösung

\frac{( x - 8 ) ( x - 9 )}{30}

Multipliziere aus

(x - 8) (x - 9) : x^{2} - 17 x + 72

= \frac{x ^{2} - 17 x + 72}{30}

Wende Bruchregel an:

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

\frac{x ^{2} - 17 x + 72}{30} = \frac{x ^{2}}{30} - \frac{17 x}{30} + \frac{72}{30}

= \frac{x ^{2}}{30} - \frac{17 x}{30} + \frac{72}{30}

Streiche

\frac{72}{30} : \frac{12}{5}

= \frac{x ^{2}}{30} - \frac{17 x}{30} + \frac{12}{5}

e x p an d \frac{( ( k + 1 ) ^{2} ( k + 2 ) ^{2} )}{4}

e x p an d (e^{- 5 t} + 2)^{2}

e x p an d \frac{s + 3}{( s ^{2} + 4 s + 5 ) ( s + 5 )}

s im pl i f y (3 x + 2)^{2}

e x p an d (sin (2 t) - cos (2 t))^{2}