faktorisieren x^3-12x^2+48x-64

Lösung

faktorisieren

x^{3} - 12 x^{2} + 48 x - 64

(x - 4)^{3}

Schritte zur Lösung

x^{3} - 12 x^{2} + 48 x - 64

Apply cube of difference rule:

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

x^{3} - 12 x^{2} + 48 x - 64 = (x - 4)^{3}

= (x - 4)^{3}

0 = - x^{2} + 9

2 x - 3 = 9

x - \frac{2 x}{3} = 7

x^{2} - 4 x + 4 = 3

f a c t or 4 x^{3} + 500