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Beliebt Algebra >

faktorisieren 36m^6+12m^4+m^2

Lösung

faktorisieren

36 m^{6} + 12 m^{4} + m^{2}

Lösung

m^{2} (6 m^{2} + 1)^{2}

Schritte zur Lösung

36 m^{6} + 12 m^{4} + m^{2}

Klammere gleiche Terme aus

m^{2} : m^{2} (36 m^{4} + 12 m^{2} + 1)

= m^{2} (36 m^{4} + 12 m^{2} + 1)

Faktorisiere

36 m^{4} + 12 m^{2} + 1 : (6 m^{2} + 1) (6 m^{2} + 1)

= m^{2} (6 m^{2} + 1) (6 m^{2} + 1)

Wende Exponentenregel an:

aa = a^{2}

(6 m^{2} + 1) (6 m^{2} + 1) = (6 m^{2} + 1)^{2}

= m^{2} (6 m^{2} + 1)^{2}

Beliebte Beispiele

21.4=0+0+1/2 (9.8)x^2

21.4 = 0 + 0 + \frac{1}{2} (9.8) x^{2}

5 \geq \frac{a}{6} + 6

- (6 x - 8) - 6 x = 104

5 < 3 x + 8 \leq 17

\frac{p}{2} + 17 < 18