erweitern ((x-6)(x-9))/(10)

Lösung

erweitern

\frac{( x - 6 ) ( x - 9 )}{10}

\frac{x ^{2}}{10} - \frac{3 x}{2} + \frac{27}{5}

Schritte zur Lösung

\frac{( x - 6 ) ( x - 9 )}{10}

Multipliziere aus

(x - 6) (x - 9) : x^{2} - 15 x + 54

= \frac{x ^{2} - 15 x + 54}{10}

Wende Bruchregel an:

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

\frac{x ^{2} - 15 x + 54}{10} = \frac{x ^{2}}{10} - \frac{15 x}{10} + \frac{54}{10}

= \frac{x ^{2}}{10} - \frac{15 x}{10} + \frac{54}{10}

Streiche

\frac{15 x}{10} : \frac{3 x}{2}

= \frac{x ^{2}}{10} - \frac{3 x}{2} + \frac{54}{10}

Streiche

\frac{54}{10} : \frac{27}{5}

= \frac{x ^{2}}{10} - \frac{3 x}{2} + \frac{27}{5}

e x p an d (x^{3} - x^{2}) \cdot e^{x - 4}

e x p an d t e^{a t} (cos (b t) + sin (b t))

e x p an d \frac{( - x + 14 ) \cdot ( x - 6 )}{2}

e x p an d \frac{( 3 x )}{( x + 8 ) ^{2}}

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