faktorisieren x^3+216

Lösung

faktorisieren

x^{3} + 216

(x + 6) (x^{2} - 6 x + 36)

Schritte zur Lösung

x^{3} + 216

Schreibe

216

um:

6^{3}

= x^{3} + 6^{3}

Wende Formel zur Summe von dritten Potenzen an:

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

x^{3} + 6^{3} = (x + 6) (x^{2} - 6 x + 6^{2})

= (x + 6) (x^{2} - 6 x + 6^{2})

6^{2} = 36

= (x + 6) (x^{2} - 6 x + 36)

∣ w ∣ \geq 4

- 2 x^{2} + 8 x + 1 = 0

x^{2} - 11 x = - 28

3 t^{2} = 27

8 v^{2} + v = - 9