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Beliebt Algebra >

faktorisieren 25x^4-36y^2

Lösung

faktorisieren

25 x^{4} - 36 y^{2}

Lösung

(5 x^{2} + 6 y) (5 x^{2} - 6 y)

Schritte zur Lösung

25 x^{4} - 36 y^{2}

25 x^{4} = (5 x^{2})^{2}

36 y^{2} = (6 y)^{2}

= (5 x^{2})^{2} - (6 y)^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(5 x^{2})^{2} - (6 y)^{2} = (5 x^{2} + 6 y) (5 x^{2} - 6 y)

= (5 x^{2} + 6 y) (5 x^{2} - 6 y)

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\frac{7 x}{x + 1} \leq \frac{6 x + 3}{4}

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