vereinfachen (2x-3y^2)(y^2-3z)(x^{11/3}-1/(y^{1/2)})

Lösung

vereinfachen

(2 x - 3 y^{2}) (y^{2} - 3 z) (x^{\frac{11}{3}} - \frac{1}{y ^{\frac{1}{2}}})

\frac{( 2 x - 3 y ^{2} ) ( y ^{2} - 3 z ) ( x ^{\frac{11}{3}} y ^{\frac{1}{2}} - 1 )}{y ^{\frac{1}{2}}}

Schritte zur Lösung

(2 x - 3 y^{2}) (y^{2} - 3 z) (x^{\frac{11}{3}} - \frac{1}{y ^{\frac{1}{2}}})

Füge zusammen:

x^{\frac{11}{3}} - \frac{1}{y ^{\frac{1}{2}}} : \frac{x ^{\frac{11}{3}} y ^{\frac{1}{2}} - 1}{y ^{\frac{1}{2}}}

= (2 x - 3 y^{2}) (y^{2} - 3 z) \frac{x ^{\frac{11}{3}} y ^{\frac{1}{2}} - 1}{y ^{\frac{1}{2}}}

Wende Bruchregel an:

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

= \frac{( 2 x - 3 y ^{2} ) ( y ^{2} - 3 z ) ( x ^{\frac{11}{3}} y ^{\frac{1}{2}} - 1 )}{y ^{\frac{1}{2}}}

e x p an d π (4 - x^{2})^{2}

e x p an d \frac{5 x + 1}{( x - 1 ) ( x + 1 ) ( x + 2 )}

e x p an d (19 sin (x) - 1) (19 sin (x) + 1)

e x p an d \frac{2 ( 3 339 - 55 )}{5}

e x p an d 3 (\frac{π}{4} + \frac{1}{2})