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Beliebt Algebra >

kgv 16-x^4,16+8x^2+x^4,16-8x^2+x^4

Lösung

kgv

16 - x^{4}, 16 + 8 x^{2} + x^{4}, 16 - 8 x^{2} + x^{4}

Lösung

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

Schritte zur Lösung

Finde das kleinste gemeinsame Vielfache von

16 - x^{4}, 16 + 8 x^{2} + x^{4}, 16 - 8 x^{2} + x^{4}

Faktorisiere

16 - x^{4} : - (x^{2} + 4) (x + 2) (x - 2)

Faktorisiere

16 + 8 x^{2} + x^{4} : (x^{2} + 4)^{2}

Faktorisiere

16 - 8 x^{2} + x^{4} : (x + 2)^{2} (x - 2)^{2}

Multiply each factor with the highest power:

- (x + 2)^{2} \cdot (x - 2)^{2} \cdot (x^{2} + 4)^{2}

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