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Beliebt Algebra >

faktorisieren 16x^4-49y^2

Lösung

faktorisieren

16 x^{4} - 49 y^{2}

Lösung

(4 x^{2} + 7 y) (4 x^{2} - 7 y)

Schritte zur Lösung

16 x^{4} - 49 y^{2}

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

49 y^{2} = (7 y)^{2}

= (4 x^{2})^{2} - (7 y)^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(4 x^{2})^{2} - (7 y)^{2} = (4 x^{2} + 7 y) (4 x^{2} - 7 y)

= (4 x^{2} + 7 y) (4 x^{2} - 7 y)

Beliebte Beispiele

vereinfachen \sqrt[3]{0.027}

s im pl i f y 3 0.027

x^{2} - 2 x - 17 = 0

3 + x = 7

∣ 3 x ∣ > - 2

7(x+1)=5-2(7x+6)

7 (x + 1) = 5 - 2 (7 x + 6)