vereinfachen (4x^2-y^2)/(\frac{xy){2/y-1/x}}

Lösung

vereinfachen

\frac{4 x ^{2} - y ^{2}}{\frac{x y}{\frac{2}{y} - \frac{1}{x}}}

\frac{( 4 x ^{2} - y ^{2} ) ( 2 x - y )}{x ^{2} y ^{2}}

Schritte zur Lösung

\frac{4 x ^{2} - y ^{2}}{\frac{x y}{\frac{2}{y} - \frac{1}{x}}}

Wende Bruchregel an:

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

= \frac{( 4 x ^{2} - y ^{2} ) ( \frac{2}{y} - \frac{1}{x} )}{x y}

Vereinfache

(4 x^{2} - y^{2}) (\frac{2}{y} - \frac{1}{x}) : \frac{( 4 x ^{2} - y ^{2} ) ( 2 x - y )}{x y}

= \frac{\frac{( 4 x ^{2} - y ^{2} ) ( 2 x - y )}{x y}}{x y}

Wende Bruchregel an:

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

= \frac{( 4 x ^{2} - y ^{2} ) ( 2 x - y )}{x y x y}

Vereinfache

x y x y : x^{2} y^{2}

= \frac{( 4 x ^{2} - y ^{2} ) ( 2 x - y )}{x ^{2} y ^{2}}

f a c t or - 1 x^{2} + 3 x + 10

x^{2} - 2 x + 35 = 0

s im pl i f y \frac{3}{11} + \frac{3}{10} + \frac{5}{14}

3 (x^{2} + x) = 2 (x + 2)

f a c t or 3 w^{3} + 192