erweitern ((x^2-1)(x+2))/x

Lösung

erweitern

\frac{( x ^{2} - 1 ) ( x + 2 )}{x}

x^{2} + 2 x - 1 - \frac{2}{x}

Schritte zur Lösung

\frac{( x ^{2} - 1 ) ( x + 2 )}{x}

Multipliziere aus

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

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

Wende Bruchregel an:

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

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

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

Wende Regel an

\frac{a}{a} = 1

\frac{x}{x} = 1

= \frac{x ^{3}}{x} + \frac{2 x ^{2}}{x} - 1 - \frac{2}{x}

Streiche

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

= x^{2} + \frac{2 x ^{2}}{x} - 1 - \frac{2}{x}

Streiche

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

= x^{2} + 2 x - 1 - \frac{2}{x}

\frac{d}{d t} ((t) (k (t - M)))

e x p an d (3 x + y - 2 z)^{5}

e x p an d 3 (ln (9 x) + 1)

e x p an d 10 (a - 5 = 6 (a - 3))

e x p an d \frac{7 x ( 4 x + 7 )}{( 7 x - 4 ) ^{2}}