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Beliebt Algebra >

faktorisieren (x-5)(x+9)^2-(x-5)^2(x+9)

Lösung

faktorisieren

(x - 5) (x + 9)^{2} - (x - 5)^{2} (x + 9)

Lösung

14 (x - 5) (x + 9)

Schritte zur Lösung

(x - 5) (x + 9)^{2} - (x - 5)^{2} (x + 9)

Klammere gleiche Terme aus

(x - 5) (x + 9) : (x - 5) (x + 9) (x + 9 - (x - 5))

= (x - 5) (x + 9) (x + 9 - (x - 5))

Schreibe

x + 9 - (x - 5)

um:

14

= (x - 5) (x + 9) \cdot 14

= 14 (x - 5) (x + 9)

Beliebte Beispiele

b^{2} + 2 b - 15 = 0

∣ 4 x + 2 ∣ \geq 10

faktorisieren x^8-x^4

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

x^{2} - 4 x + 4 = 4

x^{2} + 5 x - 3 = 3