erweitern ((124x+127)(x-1))/(30)

Lösung

erweitern

\frac{( 124 x + 127 ) ( x - 1 )}{30}

\frac{62 x ^{2}}{15} + \frac{x}{10} - \frac{127}{30}

Schritte zur Lösung

\frac{( 124 x + 127 ) ( x - 1 )}{30}

Multipliziere aus

(124 x + 127) (x - 1) : 124 x^{2} + 3 x - 127

= \frac{124 x ^{2} + 3 x - 127}{30}

Wende Bruchregel an:

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

\frac{124 x ^{2} + 3 x - 127}{30} = \frac{124 x ^{2}}{30} + \frac{3 x}{30} - \frac{127}{30}

= \frac{124 x ^{2}}{30} + \frac{3 x}{30} - \frac{127}{30}

Streiche

\frac{124 x ^{2}}{30} : \frac{62 x ^{2}}{15}

= \frac{62 x ^{2}}{15} + \frac{3 x}{30} - \frac{127}{30}

Streiche

\frac{3 x}{30} : \frac{x}{10}

= \frac{62 x ^{2}}{15} + \frac{x}{10} - \frac{127}{30}

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

e x p an d lo g_{b} (5 \frac{x y ^{2}}{z ^{3}})

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

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

e x p an d (3 - 0.1 e^{x})^{2}