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Beliebt Algebra >

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

Lösung

faktorisieren

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

Lösung

(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 Differenz 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))

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

Beliebte Beispiele

faktorisieren-n^{8x+2y}+m^{6x-4y}

f a c t or - n^{8 x + 2 y} + m^{6 x - 4 y}

faktorisieren 2x^2+2xc-3bx-3bc

f a c t or 2 x^{2} + 2 x c - 3 b x - 3 b c

f (x) = (x)^{4}

faktorisieren-(5)

f a c t or - (5)

faktorisieren 3(a+b)-5(a+b)

f a c t or 3 (a + b) - 5 (a + b)