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

Lösung

erweitern

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

4 x^{\frac{4}{3}} - 4 x^{\frac{5}{3}} + x^{2}

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

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

2 \cdot 2 x^{\frac{2}{3}} x = 4 x^{\frac{5}{3}}

= 4 x^{\frac{4}{3}} - 4 x^{\frac{5}{3}} + x^{2}

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s im pl i f y (1 + i 2)^{5}

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