erweitern (a^{3/5}-b^{3/5})^2

Lösung

erweitern

(a^{\frac{3}{5}} - b^{\frac{3}{5}})^{2}

a^{\frac{6}{5}} - 2 a^{\frac{3}{5}} b^{\frac{3}{5}} + b^{\frac{6}{5}}

Schritte zur Lösung

(a^{\frac{3}{5}} - b^{\frac{3}{5}})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(a^{\frac{3}{5}} - b^{\frac{3}{5}})^{2} = (a^{\frac{3}{5}})^{2} - 2 a^{\frac{3}{5}} b^{\frac{3}{5}} + (b^{\frac{3}{5}})^{2}

= (a^{\frac{3}{5}})^{2} - 2 a^{\frac{3}{5}} b^{\frac{3}{5}} + (b^{\frac{3}{5}})^{2}

(a^{\frac{3}{5}})^{2} = a^{\frac{6}{5}}

(b^{\frac{3}{5}})^{2} = b^{\frac{6}{5}}

= a^{\frac{6}{5}} - 2 a^{\frac{3}{5}} b^{\frac{3}{5}} + b^{\frac{6}{5}}

e x p an d \frac{( x ^{5} )}{x ^{2}}

e x p an d (m^{4} + \frac{1}{5} n)^{3}

e x p an d (2 x + 3 y = 6,) (4 x + 6 y = 12)

e x p an d (2 x y + z^{2}) (3 cos (t))

e x p an d (\frac{7}{x ^{3}} + 5 x^{5})^{5}