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

Lösung

faktorisieren

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

- (y + x) (y - x) (x + 2) (x - 2)

Schritte zur Lösung

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

Klammere aus

- 1 : - (x^{2} y^{2} - x^{4} - 4 y^{2} + 4 x^{2})

= - (x^{2} y^{2} - x^{4} - 4 y^{2} + 4 x^{2})

Faktorisiere

x^{2} y^{2} - x^{4} - 4 y^{2} + 4 x^{2} : (y + x) (y - x) (x + 2) (x - 2)

= - (y + x) (y - x) (x + 2) (x - 2)

- 7 (x + 3) = - 4 (x - 6)

∣ z ∣ \leq 0

\frac{2 x - 1}{4 x - 3} \geq 1

3 y^{2} - 5 y = - 2

∣ 5 x - 4 ∣ = 11