faktorisieren x^4y^2-x^2y^4

Lösung

faktorisieren

x^{4} y^{2} - x^{2} y^{4}

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

Schritte zur Lösung

x^{4} y^{2} - x^{2} y^{4}

Klammere gleiche Terme aus

x^{2} y^{2} : x^{2} y^{2} (x^{2} - y^{2})

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

Faktorisiere

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

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

s im pl i f y (x^{2})^{\frac{1}{3}}

x^{2} - 4 x < 0

∣ x - 1 ∣ > 2

9 x^{2} + 6 x = - 2

2 x + 7 \geq - 3