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Beliebt Algebra >

faktorisieren 1-9x^4y^4

Lösung

faktorisieren

1 - 9 x^{4} y^{4}

Lösung

(1 + 3 x^{2} y^{2}) (1 - 3 x^{2} y^{2})

Schritte zur Lösung

1 - 9 x^{4} y^{4}

1 = 1^{2}

9 x^{4} y^{4} = (3 x^{2} y^{2})^{2}

= 1^{2} - (3 x^{2} y^{2})^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

1^{2} - (3 x^{2} y^{2})^{2} = (1 + 3 x^{2} y^{2}) (1 - 3 x^{2} y^{2})

= (1 + 3 x^{2} y^{2}) (1 - 3 x^{2} y^{2})

Beliebte Beispiele

3/2 x+1/5 >=-1\lor-1/2 x-7/3 >= 5

\frac{3}{2} x + \frac{1}{5} \geq - 1 or - \frac{1}{2} x - \frac{7}{3} \geq 5

56 = (x + 3) (x) (2)

r^{2} + r - 12 = 0

- 4 (x + 14) + 5 x = 0

faktorisieren 2x^3+x^2-8x-4

f a c t or 2 x^{3} + x^{2} - 8 x - 4