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Beliebt Algebra >

faktorisieren 1-3a^2+3a^4-a^6

Lösung

faktorisieren

1 - 3 a^{2} + 3 a^{4} - a^{6}

Lösung

- (a + 1)^{3} (a - 1)^{3}

Schritte zur Lösung

1 - 3 a^{2} + 3 a^{4} - a^{6}

Klammere gleiche Terme aus

- 1

= - (a^{6} - 3 a^{4} + 3 a^{2} - 1)

Faktorisiere

a^{6} - 3 a^{4} + 3 a^{2} - 1 : (a + 1) (a - 1) (a + 1) (a - 1) (a + 1) (a - 1)

= - (a + 1) (a - 1) (a + 1) (a - 1) (a + 1) (a - 1)

Fasse zusammen

= - (a + 1)^{3} (a - 1)^{3}

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