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Beliebt Algebra >

faktorisieren 144y^4-x^6

Lösung

faktorisieren

144 y^{4} - x^{6}

Lösung

(12 y^{2} + x^{3}) (12 y^{2} - x^{3})

Schritte zur Lösung

144 y^{4} - x^{6}

144 y^{4} = (12 y^{2})^{2}

x^{6} = (x^{3})^{2}

= (12 y^{2})^{2} - (x^{3})^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(12 y^{2})^{2} - (x^{3})^{2} = (12 y^{2} + x^{3}) (12 y^{2} - x^{3})

= (12 y^{2} + x^{3}) (12 y^{2} - x^{3})

Beliebte Beispiele

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