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Beliebt Algebra >

faktorisieren 7x^2(x^2-1)-4(x^2-1)^2

Lösung

faktorisieren

7 x^{2} (x^{2} - 1) - 4 (x^{2} - 1)^{2}

Lösung

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

Schritte zur Lösung

7 x^{2} (x^{2} - 1) - 4 (x^{2} - 1)^{2}

Klammere gleiche Terme aus

(x^{2} - 1) : (x^{2} - 1) (7 x^{2} - 4 (x^{2} - 1))

= (x^{2} - 1) (7 x^{2} - 4 (x^{2} - 1))

Faktorisiere

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

= (x + 1) (x - 1) (7 x^{2} - 4 (x^{2} - 1))

Schreibe

7 x^{2} - 4 (x^{2} - 1)

um:

3 x^{2} + 4

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

Beliebte Beispiele

vereinfachen (3sqrt(2)-2sqrt(3))^2

s im pl i f y (32 - 23)^{2}

4 w^{2} + 3 w - 6 = 0

10 x^{2} - 29 x + 10 = 0

faktorisieren 4x^2+16x+64

f a c t or 4 x^{2} + 16 x + 64

4(x-1)(x+5)<= 0

4 (x - 1) (x + 5) \leq 0