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Beliebt Algebra >

faktorisieren a^3-b^9

Lösung

faktorisieren

a^{3} - b^{9}

Lösung

(a - b^{3}) (a^{2} + a b^{3} + b^{6})

Schritte zur Lösung

a^{3} - b^{9}

Wende Exponentenregel an:

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

b^{9} = (b^{3})^{3}

= a^{3} - (b^{3})^{3}

Wende Formel zur Differenz von dritten Potenzen an:

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

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

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

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

= (a - b^{3}) (a^{2} + a b^{3} + b^{6})

Beliebte Beispiele

24.059(x)^2-586.5x+10000=0

24.059 (x)^{2} - 586.5 x + 10000 = 0

- 4 x - 1 \geq 19

2 x - 2 = 2 x - 31

6x-7x-8x-4=10+20-50

6 x - 7 x - 8 x - 4 = 10 + 20 - 50

5 x - 8 = 2 x + 7