(1-X^{2/3})^{3/2}

Lösung

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

(- X^{\frac{2}{3}} + 1) (- X^{\frac{2}{3}} + 1)^{\frac{1}{2}}

Schritte zur Lösung

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

Wende Exponentenregel an:

a^{b + c} = a^{b} \cdot a^{c}

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

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

x^{2} - 4 x + 5 \geq 0

s im pl i f y 15625

3 x - 9 > - 12

3 x^{2} - 2 x < 2 x^{2} + 8

f a c t or 9 x^{3} - 9 x