erweitern x^{4/3}(x^{5/3}-x^{7/5})

Lösung

erweitern

x^{\frac{4}{3}} (x^{\frac{5}{3}} - x^{\frac{7}{5}})

x^{3} - x^{\frac{41}{15}}

Schritte zur Lösung

x^{\frac{4}{3}} (x^{\frac{5}{3}} - x^{\frac{7}{5}})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

x^{\frac{4}{3}} (x^{\frac{5}{3}} - x^{\frac{7}{5}}) = x^{\frac{4}{3}} x^{\frac{5}{3}} - x^{\frac{4}{3}} x^{\frac{7}{5}}

= x^{\frac{4}{3}} x^{\frac{5}{3}} - x^{\frac{4}{3}} x^{\frac{7}{5}}

x^{\frac{4}{3}} x^{\frac{5}{3}} = x^{3}

x^{\frac{4}{3}} x^{\frac{7}{5}} = x^{\frac{41}{15}}

= x^{3} - x^{\frac{41}{15}}

e x p an d (3 sin (x) - 4 cos (x))^{2}

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