de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

faktorisieren tan^3(a)-cot^3(a)

Lösung

faktorisieren

tan^{3} (a) - cot^{3} (a)

Lösung

(tan (a) - cot (a)) (tan^{2} (a) + cot (a) tan (a) + cot^{2} (a))

Schritte zur Lösung

tan^{3} (a) - cot^{3} (a)

Wende Formel zur Differenz von dritten Potenzen an:

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

tan^{3} (a) - cot^{3} (a) = (tan (a) - cot (a)) (tan^{2} (a) + cot (a) tan (a) + cot^{2} (a))

= (tan (a) - cot (a)) (cot^{2} (a) + cot (a) tan (a) + tan^{2} (a))

Beliebte Beispiele

faktorisieren cos^6(θ)+sin^6(x)

f a c t or cos^{6} (θ) + sin^{6} (x)

d/(dt)(({P}(t))(k{P}(t)(1200-{P}(t))))

\frac{d}{d t} ((P (t)) (k P (t) (1200 - P (t))))

faktorisieren b^4(sqrt(a^3b))

f a c t or b^{4} (a^{3} b)

faktorisieren (6-x)/(x^2-36)

f a c t or \frac{6 - x}{x ^{2} - 36}

faktorisieren 2x'1

f a c t or 2 x^{'} 1