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Beliebt Algebra >

faktorisieren 81c^4-d^4

Lösung

faktorisieren

81 c^{4} - d^{4}

Lösung

(9 c^{2} + d^{2}) (3 c + d) (3 c - d)

Schritte zur Lösung

81 c^{4} - d^{4}

81 c^{4} = (9 c^{2})^{2}

d^{4} = (d^{2})^{2}

= (9 c^{2})^{2} - (d^{2})^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(9 c^{2})^{2} - (d^{2})^{2} = (9 c^{2} + d^{2}) (9 c^{2} - d^{2})

= (9 c^{2} + d^{2}) (9 c^{2} - d^{2})

Faktorisiere

9 c^{2} - d^{2} : (3 c + d) (3 c - d)

= (9 c^{2} + d^{2}) (3 c + d) (3 c - d)

Beliebte Beispiele

faktorisieren 90x^2y^2+9x^3y^3

f a c t or 90 x^{2} y^{2} + 9 x^{3} y^{3}

|(x+2)(x-2)|<= 2(2-x)

∣ (x + 2) (x - 2) ∣ \leq 2 (2 - x)

(5x+15)/(x-2)<= 0

\frac{5 x + 15}{x - 2} \leq 0

- 10 + 9 j > 8

2 x + 5 < 0