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Beliebt Algebra >

faktorisieren c^3+b^6

Lösung

faktorisieren

c^{3} + b^{6}

Lösung

(c + b^{2}) (c^{2} - c b^{2} + b^{4})

Schritte zur Lösung

c^{3} + b^{6}

Wende Exponentenregel an:

a^{b c} = (a^{b})^{c}

b^{6} = (b^{2})^{3}

= c^{3} + (b^{2})^{3}

Wende Formel zur Summe von dritten Potenzen an:

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

c^{3} + (b^{2})^{3} = (c + b^{2}) (c^{2} - c b^{2} + (b^{2})^{2})

= (c + b^{2}) (c^{2} - c b^{2} + (b^{2})^{2})

(b^{2})^{2} = b^{4}

= (c + b^{2}) (c^{2} - c b^{2} + b^{4})

Beliebte Beispiele

vereinfachen (3+i)(4+2i)

s im pl i f y (3 + i) (4 + 2 i)

faktorisieren x^8-256

f a c t or x^{8} - 256

9 x \leq x + 15.2

∣ x - 2 ∣ = ∣ 3 x + 4 ∣

- x^{2} + 9 = 0