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Beliebt Algebra >

faktorisieren x^3-y^6

Lösung

faktorisieren

x^{3} - y^{6}

Lösung

(x - y^{2}) (x^{2} + x y^{2} + y^{4})

Schritte zur Lösung

x^{3} - y^{6}

Wende Exponentenregel an:

a^{b c} = (a^{b})^{c}

y^{6} = (y^{2})^{3}

= x^{3} - (y^{2})^{3}

Wende Formel zur Differenz von dritten Potenzen an:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

x^{3} - (y^{2})^{3} = (x - y^{2}) (x^{2} + x y^{2} + (y^{2})^{2})

= (x - y^{2}) (x^{2} + x y^{2} + (y^{2})^{2})

(y^{2})^{2} = y^{4}

= (x - y^{2}) (x^{2} + x y^{2} + y^{4})

Beliebte Beispiele

4 x^{2} + 6 x = 8

(5x)/6-7/4+(2x)/3 =2x-5/12+x/3

\frac{5 x}{6} - \frac{7}{4} + \frac{2 x}{3} = 2 x - \frac{5}{12} + \frac{x}{3}

w^{2} + 3 w = 40

faktorisieren 6v^2+42v+72

f a c t or 6 v^{2} + 42 v + 72

- 7 d^{2} + 2 d + 9 = 0