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Beliebt Algebra >

faktorisieren x^4-y^4

Lösung

faktorisieren

x^{4} - y^{4}

Lösung

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

Schritte zur Lösung

x^{4} - y^{4}

x^{4} = (x^{2})^{2}

y^{4} = (y^{2})^{2}

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

Wende Formel zur Differenz von zwei Quadraten an:

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

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

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

Faktorisiere

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

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

Beliebte Beispiele

faktorisieren 2n^2-3n-9

f a c t or 2 n^{2} - 3 n - 9

faktorisieren-6vu^2-uv^2-22u^2v^2

f a c t or - 6 v u^{2} - u v^{2} - 22 u^{2} v^{2}

16 x^{2} + 6 x - 110 = 0

faktorisieren 9n^4-18n^3+27n^2

f a c t or 9 n^{4} - 18 n^{3} + 27 n^{2}

∣ x + 8 ∣ + 8 \geq 4