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Beliebt Algebra >

faktorisieren (a^3+b^3)^{(2/3)}

Lösung

faktorisieren

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

Lösung

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

Schritte zur Lösung

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

Faktorisiere

a^{3} + b^{3} : (a + b) (a^{2} - ab + b^{2})

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

Wende Exponentenregel an:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

Beliebte Beispiele

3 x^{2} - 12 x - 34 = 2

4 x^{2} - x - 1 = 0

x^{2} - 14 = 2 x - 14

vereinfachen (sqrt(6x^8y^9))/(sqrt(5x^2y^4))

s im pl i f y \frac{6 x ^{8} y ^{9}}{5 x ^{2} y ^{4}}

s^{2} + 3 s + 2 < 0