faktorisieren cos^3(θ)+sin^3(θ)

Lösung

faktorisieren

cos^{3} (θ) + sin^{3} (θ)

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

Schritte zur Lösung

cos^{3} (θ) + sin^{3} (θ)

Wende Formel zur Summe von dritten Potenzen an:

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

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

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

f a c t or 15 a^{2} - 21 c a + 30 a e - 42

f a c t or 16 x^{6 a} - 49 y^{2 b}

f a c t or 5 x^{2} - 40 x + 3 x + 24

p a r i t y x sec^{2} (π x)

f a c t or [(x - 2 y) + z] [(x - 2 y) - z]