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

Lösung

erweitern

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

x^{\frac{4}{3}} - 2 x^{\frac{2}{3}} + 1

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

(x^{\frac{2}{3}})^{2} = x^{\frac{4}{3}}

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

1^{2} = 1

= x^{\frac{4}{3}} - 2 x^{\frac{2}{3}} + 1

e x p an d cot (x) + cos (x) (tan (x) - tan (\frac{x}{2}))

e x p an d (- 4 b + 2 x^{\frac{21}{5}}) (4 x^{3})

e x p an d (x y^{2} - 4 x^{2} y^{3} + 5 x^{3} y + 4 x^{2}) l e f t (- 2 x^{3} y)

e x p an d (1 + cos (θ)) \cdot cos (θ)

s im pl i f y (\frac{1}{4} + \frac{2 x}{7}) (\frac{1}{4} - \frac{2 x}{7})