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Beliebt Algebra >

faktorisieren x^6-27

Lösung

faktorisieren

x^{6} - 27

Lösung

(x^{2} - 3) (x^{4} + 3 x^{2} + 9)

Schritte zur Lösung

x^{6} - 27

Wende Exponentenregel an

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

Wende Formel zur Differenz von dritten Potenzen an:

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

(x^{2})^{3} - 3^{3} = (x^{2} - 3) (x^{4} + 3 x^{2} + 3^{2})

= (x^{2} - 3) (x^{4} + 3 x^{2} + 3^{2})

3^{2} = 9

= (x^{2} - 3) (x^{4} + 3 x^{2} + 9)

Beliebte Beispiele

\frac{x}{2} - 5 < - 8

faktorisieren x^2+16x+48

f a c t or x^{2} + 16 x + 48

4 x^{2} - 6 x = 0

(-1+2i)z+(3+i)=(6-5i)-(2+i)z

(- 1 + 2 i) z + (3 + i) = (6 - 5 i) - (2 + i) z

faktorisieren 10x^3+3x^2-x-10x^2-3x+1

f a c t or 10 x^{3} + 3 x^{2} - x - 10 x^{2} - 3 x + 1