erweitern x^{2/5}(x^{2/5}-x^{3/5})

Lösung

erweitern

x^{\frac{2}{5}} (x^{\frac{2}{5}} - x^{\frac{3}{5}})

x^{\frac{4}{5}} - x

Schritte zur Lösung

x^{\frac{2}{5}} (x^{\frac{2}{5}} - x^{\frac{3}{5}})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

x^{\frac{2}{5}} (x^{\frac{2}{5}} - x^{\frac{3}{5}}) = x^{\frac{2}{5}} x^{\frac{2}{5}} - x^{\frac{2}{5}} x^{\frac{3}{5}}

= x^{\frac{2}{5}} x^{\frac{2}{5}} - x^{\frac{2}{5}} x^{\frac{3}{5}}

x^{\frac{2}{5}} x^{\frac{2}{5}} = x^{\frac{4}{5}}

x^{\frac{2}{5}} x^{\frac{3}{5}} = x

= x^{\frac{4}{5}} - x

e x p an d 2 (n x^{n - 3} (n - 1) (n - 2))

e x p an d (8 + 24 sin (2 π^{60} t)) (2 + 6 sin (2 π^{60} t))

e x p an d π (322 - \frac{224 2}{15})

e x p an d (x + x)^{6}

e x p an d (1 + e^{- j x}) (1 + e^{+ j x})