erweitern x^{1/2}(x^{4/5}-x^{7/5})

Lösung

erweitern

x^{\frac{1}{2}} (x^{\frac{4}{5}} - x^{\frac{7}{5}})

x^{\frac{13}{10}} - x^{\frac{19}{10}}

Schritte zur Lösung

x^{\frac{1}{2}} (x^{\frac{4}{5}} - x^{\frac{7}{5}})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

x^{\frac{1}{2}} (x^{\frac{4}{5}} - x^{\frac{7}{5}}) = x^{\frac{1}{2}} x^{\frac{4}{5}} - x^{\frac{1}{2}} x^{\frac{7}{5}}

= x^{\frac{1}{2}} x^{\frac{4}{5}} - x^{\frac{1}{2}} x^{\frac{7}{5}}

x^{\frac{1}{2}} x^{\frac{4}{5}} = x^{\frac{13}{10}}

x^{\frac{1}{2}} x^{\frac{7}{5}} = x^{\frac{19}{10}}

= x^{\frac{13}{10}} - x^{\frac{19}{10}}

e x p an d lo g_{10} (3 x^{2})

s im pl i f y (1 + \frac{x - 1}{x}) (1 - \frac{1}{x + 1})

s im pl i f y (x + 5) (x - 3)

e x p an d sec (b) (csc (b) + 1)

e x p an d (1 + \frac{x}{2})^{18}