faktorisieren x^2y^2-x^2-1+y^2

Lösung

faktorisieren

x^{2} y^{2} - x^{2} - 1 + y^{2}

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

Schritte zur Lösung

x^{2} y^{2} - x^{2} - 1 + y^{2}

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

Klammere

x^{2}

aus

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

aus

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

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

Klammere gleiche Terme aus

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

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

Faktorisiere

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

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

f a c t or x^{2} y^{2} + x^{2} - y^{2} - 1

e x p an d (2 x - 8)^{3}

s im pl i f y \frac{( \frac{2}{x} + \frac{4}{y} )}{( 2 x + y )}

f (x) = \frac{( x + 1 + 1 - x )}{x}

f a c t or a^{2} - x^{2} + 2 x - 1