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Beliebt Algebra >

faktorisieren 3x^4+6x^3+6x^2+6x+3

Lösung

faktorisieren

3 x^{4} + 6 x^{3} + 6 x^{2} + 6 x + 3

Lösung

3 (x + 1)^{2} (x^{2} + 1)

Schritte zur Lösung

3 x^{4} + 6 x^{3} + 6 x^{2} + 6 x + 3

Klammere gleiche Terme aus

3 : 3 (x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 1)

= 3 (x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 1)

Faktorisiere

x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 1 : (x + 1) (x + 1) (x^{2} + 1)

= 3 (x + 1) (x + 1) (x^{2} + 1)

Wende Exponentenregel an:

aa = a^{2}

(x + 1) (x + 1) = (x + 1)^{2}

= 3 (x + 1)^{2} (x^{2} + 1)

Beliebte Beispiele

\frac{7}{8} x \geq 8

12 x - 4 > 7 x + 11

19 j^{2} + 31 j = 0

∣ u - 6 ∣ = - \frac{1}{5}

- 5 = 52