erweitern ((3x-1)(3x+2))/(x^2)

Lösung

erweitern

\frac{( 3 x - 1 ) ( 3 x + 2 )}{x ^{2}}

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

Schritte zur Lösung

\frac{( 3 x - 1 ) ( 3 x + 2 )}{x ^{2}}

Multipliziere aus

(3 x - 1) (3 x + 2) : 9 x^{2} + 3 x - 2

= \frac{9 x ^{2} + 3 x - 2}{x ^{2}}

Wende Bruchregel an:

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

\frac{9 x ^{2} + 3 x - 2}{x ^{2}} = \frac{9 x ^{2}}{x ^{2}} + \frac{3 x}{x ^{2}} - \frac{2}{x ^{2}}

= \frac{9 x ^{2}}{x ^{2}} + \frac{3 x}{x ^{2}} - \frac{2}{x ^{2}}

Streiche

\frac{9 x ^{2}}{x ^{2}} : 9

= 9 + \frac{3 x}{x ^{2}} - \frac{2}{x ^{2}}

Streiche

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

= 9 + \frac{3}{x} - \frac{2}{x ^{2}}

e x p an d (x, y) (x + 2 y - 2)

e x p an d (- 1 + 2 j) (2, - 3)

e x p an d 6^{1}

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

e x p an d e^{(x - 1)^{2}}