erweitern (2(x-y))/(x^2)

Lösung

erweitern

\frac{2 ( x - y )}{x ^{2}}

\frac{2}{x} - \frac{2 y}{x ^{2}}

Schritte zur Lösung

\frac{2 ( x - y )}{x ^{2}}

Multipliziere aus

2 (x - y) : 2 x - 2 y

= \frac{2 x - 2 y}{x ^{2}}

Wende Bruchregel an:

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

\frac{2 x - 2 y}{x ^{2}} = \frac{2 x}{x ^{2}} - \frac{2 y}{x ^{2}}

= \frac{2 x}{x ^{2}} - \frac{2 y}{x ^{2}}

Streiche

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

= \frac{2}{x} - \frac{2 y}{x ^{2}}

s im pl i f y (x + \frac{5}{y}) \cdot (x - \frac{7}{y})

e x p an d \frac{x ^{2}}{( 1 - 0.5 x ) ( 1 - 3 x ) ( 1 - x )}

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

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

e x p an d 16 (1 - cos^{2} (x))