faktorisieren (12x-7)-(5x^{12})

Lösung

faktorisieren

(12 x - 7) - (5 x^{12})

- (x - 1) (5 x^{11} + 5 x^{10} + 5 x^{9} + 5 x^{8} + 5 x^{7} + 5 x^{6} + 5 x^{5} + 5 x^{4} + 5 x^{3} + 5 x^{2} + 5 x - 7)

Schritte zur Lösung

(12 x - 7) - (5 x^{12})

Entferne die Klammern:

(a) = a

= 12 x - 7 - 5 x^{12}

Klammere gleiche Terme aus

- 1

= - (5 x^{12} - 12 x + 7)

Faktorisiere

5 x^{12} - 12 x + 7 : (x - 1) (5 x^{11} + 5 x^{10} + 5 x^{9} + 5 x^{8} + 5 x^{7} + 5 x^{6} + 5 x^{5} + 5 x^{4} + 5 x^{3} + 5 x^{2} + 5 x - 7)

= - (x - 1) (5 x^{11} + 5 x^{10} + 5 x^{9} + 5 x^{8} + 5 x^{7} + 5 x^{6} + 5 x^{5} + 5 x^{4} + 5 x^{3} + 5 x^{2} + 5 x - 7)

f a c t or 8 (3 x - 7)^{2} + 2 (3 x - 7) - 45

f a c t or (\frac{3}{7 π}) + (\frac{3}{5})

f a c t or (a + 6) (a - 6 a + 36)

f a c t or x^{2} 5 x + 6

f (a) = 2 (a)^{5}