faktorisieren a^2-b^2-10a+25

Lösung

faktorisieren

a^{2} - b^{2} - 10 a + 25

(a - 5 + b) (a - 5 - b)

Schritte zur Lösung

a^{2} - b^{2} - 10 a + 25

Faktorisiere

a^{2} - 10 a + 25 : (a - 5)^{2}

= (a - 5)^{2} - b^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(a - 5)^{2} - b^{2} = ((a - 5) + b) ((a - 5) - b)

= ((a - 5) + b) ((a - 5) - b)

Apply rule:

(a) = a

(a - 5) = a - 5

= (a - 5 + b) (a - 5 - b)

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