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Beliebt Algebra >

faktorisieren 1-a^2b^2+b^2-a^2

Lösung

faktorisieren

1 - a^{2} b^{2} + b^{2} - a^{2}

Lösung

- (b^{2} + 1) (a + 1) (a - 1)

Schritte zur Lösung

1 - a^{2} b^{2} + b^{2} - a^{2}

Group by common factors

= - a^{2} b^{2} - a^{2} + b^{2} + 1

= (- a^{2} b^{2} - a^{2}) + (b^{2} + 1)

Klammere

- a^{2}

aus

- a^{2} b^{2} - a^{2}

aus

: - a^{2} (b^{2} + 1)

= - a^{2} (b^{2} + 1) + (b^{2} + 1)

Klammere gleiche Terme aus

(b^{2} + 1) : (b^{2} + 1) (- a^{2} + 1)

= (b^{2} + 1) (- a^{2} + 1)

Faktorisiere

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

= - (b^{2} + 1) (a + 1) (a - 1)

Beliebte Beispiele

4 x = 36

(x - 3) (x + 4) = 30

\frac{d}{6} < 6

\frac{1}{2} x < 8

78= 1/2 (n^2-n)

78 = \frac{1}{2} (n^{2} - n)