faktorisieren 1-sin^2(x)cos^{2x}(x)

Lösung

faktorisieren

1 - sin^{2} (x) cos^{2 x} (x)

- (sin (x) cos^{x} (x) + 1) (sin (x) cos^{x} (x) - 1)

Schritte zur Lösung

1 - sin^{2} (x) cos^{2 x} (x)

Schreibe

sin^{2} (x) cos^{2 x} (x)

um:

(sin (x) cos^{1 x} (x))^{2}

= 1 - (sin (x) cos^{1 \cdot x} (x))^{2}

Klammere gleiche Terme aus

- 1

= - ((sin (x) cos^{1 x} (x))^{2} - 1)

Faktorisiere

(sin (x) cos^{1 x} (x))^{2} - 1 : (sin (x) cos^{1 x} (x) + 1) (sin (x) cos^{1 x} (x) - 1)

= - (sin (x) cos^{1 x} (x) + 1) (sin (x) cos^{1 x} (x) - 1)

Fasse zusammen

= - (sin (x) cos^{x} (x) + 1) (sin (x) cos^{x} (x) - 1)

f a c t or ((x + 3) + 4) ((x + 3) - 4)

f a c t or 7 y^{- 1} + 11 y^{- 5}

f a c t or + (- 24)

f a c t or (m + n) 2 - 6 (m + n) + 9

f a c t or x^{2} - 12 x + (- 36)