erweitern x^{5/3}(x^{-1}+x^{7/2})

Lösung

erweitern

x^{\frac{5}{3}} (x^{- 1} + x^{\frac{7}{2}})

x^{\frac{2}{3}} + x^{\frac{31}{6}}

Schritte zur Lösung

x^{\frac{5}{3}} (x^{- 1} + x^{\frac{7}{2}})

Wende das Distributivgesetz an:

a (b + c) = ab + a c

x^{\frac{5}{3}} (x^{- 1} + x^{\frac{7}{2}}) = x^{\frac{5}{3}} x^{- 1} + x^{\frac{5}{3}} x^{\frac{7}{2}}

= x^{\frac{5}{3}} x^{- 1} + x^{\frac{5}{3}} x^{\frac{7}{2}}

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

x^{\frac{5}{3}} x^{\frac{7}{2}} = x^{\frac{31}{6}}

= x^{\frac{2}{3}} + x^{\frac{31}{6}}

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e x p an d 3 x (x + 2)