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Beliebt Algebra >

faktorisieren 625x^4-1

Lösung

faktorisieren

625 x^{4} - 1

Lösung

(25 x^{2} + 1) (5 x + 1) (5 x - 1)

Schritte zur Lösung

625 x^{4} - 1

Wende Exponentenregel an

= (25 x^{2})^{2} - 1^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(25 x^{2})^{2} - 1^{2} = (25 x^{2} + 1) (25 x^{2} - 1)

= (25 x^{2} + 1) (25 x^{2} - 1)

Faktorisiere

25 x^{2} - 1 : (5 x + 1) (5 x - 1)

= (25 x^{2} + 1) (5 x + 1) (5 x - 1)

Beliebte Beispiele

∣ w ∣ = 9

x^{2} - 3 x + 15 = 0

3 x^{2} + 6 x = - 1

\frac{x + 1}{2 - x} > x

4 x^{2} - 7 = 4 x