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Beliebt Algebra >

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

Lösung

faktorisieren

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

Lösung

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

Schritte zur Lösung

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

Vereinfache

x^{4} : (x^{2})^{2}

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

Wende Formel zur Differenz von zwei Quadraten an:

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

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

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

Vereinfache

(x^{2} + (3 x - 2)) (x^{2} - (3 x - 2)) : (x^{2} + 3 x - 2) (x^{2} - 3 x + 2)

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

Faktorisiere

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

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

Beliebte Beispiele

faktorisieren x^3+3x^2+16x-20

f a c t or x^{3} + 3 x^{2} + 16 x - 20

(7 x + 5) (2 x - 6) = 0

- (x - 8) + 4 x = 2

vereinfachen sqrt(-31)

s im pl i f y - 31

2 x^{2} - 9 x - 10 = 0