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Beliebt Algebra >

faktorisieren (X^2-5X+1)^2-11(X^2-5X+1)+10

Lösung

faktorisieren

(X^{2} - 5 X + 1)^{2} - 11 (X^{2} - 5 X + 1) + 10

Lösung

X (X - 5) (X^{2} - 5 X - 9)

Schritte zur Lösung

(X^{2} - 5 X + 1)^{2} - 11 (X^{2} - 5 X + 1) + 10

Multipliziere aus

(X^{2} - 5 X + 1)^{2} - 11 (X^{2} - 5 X + 1) + 10 : X^{4} - 10 X^{3} + 16 X^{2} + 45 X

= X^{4} - 10 X^{3} + 16 X^{2} + 45 X

Faktorisiere

X^{4} - 10 X^{3} + 16 X^{2} + 45 X : X (X - 5) (X^{2} - 5 X - 9)

= X (X - 5) (X^{2} - 5 X - 9)

Beliebte Beispiele

x (x - 13) + 40 = 0

faktorisieren 3x^3+21x^2-54x

f a c t or 3 x^{3} + 21 x^{2} - 54 x

y^{2} + y + 6 = 0

∣ x - 2 ∣ + ∣ x + 1 ∣ = - 1

1/2 x+5= 1/6 x+6

\frac{1}{2} x + 5 = \frac{1}{6} x + 6