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Beliebt Algebra >

faktorisieren 64x^8y^4-1

Lösung

faktorisieren

64 x^{8} y^{4} - 1

Lösung

(8 x^{4} y^{2} + 1) (8 x^{4} y^{2} - 1)

Schritte zur Lösung

64 x^{8} y^{4} - 1

64 x^{8} y^{4} = (8 x^{4} y^{2})^{2}

1 = 1^{2}

= (8 x^{4} y^{2})^{2} - 1^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(8 x^{4} y^{2})^{2} - 1^{2} = (8 x^{4} y^{2} + 1) (8 x^{4} y^{2} - 1)

= (8 x^{4} y^{2} + 1) (8 x^{4} y^{2} - 1)

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