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Beliebt Algebra >

faktorisieren p^2-x^2+6x-9

Lösung

faktorisieren

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

Lösung

(p + x - 3) (p - x + 3)

Schritte zur Lösung

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

Faktorisiere

- x^{2} + 6 x - 9 : - (x - 3)^{2}

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

Wende Formel zur Differenz von zwei Quadraten an:

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

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

= (p + (x - 3)) (p - (x - 3))

Vereinfache

(p + (x - 3)) (p - (x - 3)) : (p + x - 3) (p - x + 3)

= (p + x - 3) (p - x + 3)

Beliebte Beispiele

0.75(8b+4)-1=4b+14

0.75 (8 b + 4) - 1 = 4 b + 14

3 - 2 x = 7

-0.8k-11.9>=-8.3

- 0.8 k - 11.9 \geq - 8.3

faktorisieren 45q^2+93q+42

f a c t or 45 q^{2} + 93 q + 42

16 x^{2} = 56 x