vereinfachen (1/(xy)-1/(y^2))/(1/(x^2y)-1/(xy^2))

Lösung

vereinfachen

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

x

Schritte zur Lösung

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

Füge zusammen:

\frac{1}{x y} - \frac{1}{y ^{2}} : \frac{y - x}{x y ^{2}}

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

Füge zusammen:

\frac{1}{x ^{2} y} - \frac{1}{x y ^{2}} : \frac{y - x}{x ^{2} y ^{2}}

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

Wende Bruchregel an:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

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

Streiche

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

= x

s im pl i f y \frac{3 - 6 i}{4 - 3 i}

- 2 x^{2} - 7 x - 5 = 0

f a c t or 32 a^{2} + 24 b^{2}

x^{2} + \frac{3}{4} = 0

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