faktorisieren cos^3(x)+sin^3(x)

Lösung

faktorisieren

cos^{3} (x) + sin^{3} (x)

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

Schritte zur Lösung

cos^{3} (x) + sin^{3} (x)

Wende Formel zur Summe von dritten Potenzen an:

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

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

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

f a c t or 6 a b^{3} x - 4 b^{3} + 21 a x - 14

f a c t or 12 + 235

f a c t or [(x - 7 y) + z] [(x - 7 y) - z]

f a c t or \frac{x ^{3} - 1}{x ^{2} - 1}

f a c t or m^{9} n^{15} + p^{21}