erweitern x^{5/3}(x^{1/3}-x^{2/5})

Lösung

erweitern

x^{\frac{5}{3}} (x^{\frac{1}{3}} - x^{\frac{2}{5}})

x^{2} - x^{\frac{31}{15}}

Schritte zur Lösung

x^{\frac{5}{3}} (x^{\frac{1}{3}} - x^{\frac{2}{5}})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

x^{\frac{5}{3}} (x^{\frac{1}{3}} - x^{\frac{2}{5}}) = x^{\frac{5}{3}} x^{\frac{1}{3}} - x^{\frac{5}{3}} x^{\frac{2}{5}}

= x^{\frac{5}{3}} x^{\frac{1}{3}} - x^{\frac{5}{3}} x^{\frac{2}{5}}

x^{\frac{5}{3}} x^{\frac{1}{3}} = x^{2}

x^{\frac{5}{3}} x^{\frac{2}{5}} = x^{\frac{31}{15}}

= x^{2} - x^{\frac{31}{15}}

e x p an d 3 x^{2} + x y + y^{2} \cdot (x - y)

e x p an d \frac{1}{x ( 1 + ln ( x ) )}

e x p an d x^{(a + 1) \cdot 2}

e x p an d 4 + 5

s im pl i f y 15 (\frac{- x ^{2} + 11 x}{2} - 15)