erweitern p^{3/5}(p^{2/5}-3p^{12/5})

Lösung

erweitern

p^{\frac{3}{5}} (p^{\frac{2}{5}} - 3 p^{\frac{12}{5}})

p - 3 p^{3}

Schritte zur Lösung

p^{\frac{3}{5}} (p^{\frac{2}{5}} - 3 p^{\frac{12}{5}})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

p^{\frac{3}{5}} (p^{\frac{2}{5}} - 3 p^{\frac{12}{5}}) = p^{\frac{3}{5}} p^{\frac{2}{5}} - p^{\frac{3}{5}} \cdot 3 p^{\frac{12}{5}}

= p^{\frac{3}{5}} p^{\frac{2}{5}} - p^{\frac{3}{5}} \cdot 3 p^{\frac{12}{5}}

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

p^{\frac{3}{5}} \cdot 3 p^{\frac{12}{5}} = 3 p^{3}

= p - 3 p^{3}

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