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Beliebt Algebra >

faktorisieren (x-3)^2-64y^4

Lösung

faktorisieren

(x - 3)^{2} - 64 y^{4}

Lösung

(x - 3 + 8 y^{2}) (x - 3 - 8 y^{2})

Schritte zur Lösung

(x - 3)^{2} - 64 y^{4}

Vereinfache

64 y^{4} : (8 y^{2})^{2}

= (x - 3)^{2} - (8 y^{2})^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(x - 3)^{2} - (8 y^{2})^{2} = ((x - 3) + 8 y^{2}) ((x - 3) - 8 y^{2})

= ((x - 3) + 8 y^{2}) ((x - 3) - 8 y^{2})

Apply rule:

(a) = a

(x - 3) = x - 3

= (x - 3 + 8 y^{2}) (x - 3 - 8 y^{2})

Beliebte Beispiele

faktorisieren 2x+4x

f a c t or 2 x + 4 x

-6<= (6-4x)/5 <= 12

- 6 \leq \frac{6 - 4 x}{5} \leq 12

- 27 + 4 x = - 5 x + 9

vereinfachen 4/5-5/12

s im pl i f y \frac{4}{5} - \frac{5}{12}

w^{2} = 11 w