faktorisieren 3cos^2(x)+cos(x)-4

Lösung

faktorisieren

3 cos^{2} (x) + cos (x) - 4

(cos (x) - 1) (3 cos (x) + 4)

Schritte zur Lösung

3 cos^{2} (x) + cos (x) - 4

Zerlege die Ausdrücke in Gruppen

= (3 cos^{2} (x) - 3 cos (x)) + (4 cos (x) - 4)

Klammere

3 cos (x)

aus

3 cos^{2} (x) - 3 cos (x)

aus

: 3 cos (x) (cos (x) - 1)

Klammere

4

aus

4 cos (x) - 4

aus

: 4 (cos (x) - 1)

= 3 cos (x) (cos (x) - 1) + 4 (cos (x) - 1)

Klammere gleiche Terme aus

cos (x) - 1

= (cos (x) - 1) (3 cos (x) + 4)

f a c t or (x^{3} + 2 x) + (- x^{2} + 4)

f a c t or ab c - 2 ab cz - x y + 2 x yz

f a c t or \frac{x + 4}{x ^{2} + 8 x + 16}

f a c t or x^{2} 11 x^{24}

f a c t or e^{I n (x)}