de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

faktorisieren x^8-16

Lösung

faktorisieren

x^{8} - 16

Lösung

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

Schritte zur Lösung

x^{8} - 16

Wende Exponentenregel an

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

Wende Formel zur Differenz von zwei Quadraten an:

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

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

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

Faktorisiere

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

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

Faktorisiere

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

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

Beliebte Beispiele

5 = ∣ 2 z + 3 ∣

\frac{1}{x} - 4 = 3

24x^2-48x-360=0

24 x^{2} - 48 x - 360 = 0

∣ 5 t - 7 ∣ = 11

faktorisieren 6x^2+13x+6

f a c t or 6 x^{2} + 13 x + 6