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Beliebt Algebra >

faktorisieren 12m^3n^3-18m^2n^2-24m^4n^4

Lösung

faktorisieren

12 m^{3} n^{3} - 18 m^{2} n^{2} - 24 m^{4} n^{4}

Lösung

6 m^{2} n^{2} (2 mn - 3 - 4 m^{2} n^{2})

Schritte zur Lösung

12 m^{3} n^{3} - 18 m^{2} n^{2} - 24 m^{4} n^{4}

Wende Exponentenregel an:

a^{b + c} = a^{b} a^{c}

m^{3} n^{3} = m^{2} m n^{2} n, m^{4} n^{4} = m^{2} m^{2} n^{2} n^{2}

= 12 m^{2} m n^{2} n - 18 m^{2} n^{2} - 24 m^{2} m^{2} n^{2} n^{2}

Schreibe

- 24

um:

4 \cdot 6

Schreibe

- 18

um:

3 \cdot 6

= 2 \cdot 6 m^{2} m n^{2} n + 3 \cdot 6 m^{2} n^{2} + 4 \cdot 6 m^{2} m^{2} n^{2} n^{2}

Klammere gleiche Terme aus

6 m^{2} n^{2}

= 6 m^{2} n^{2} (2 mn - 3 - 4 m^{2} n^{2})

Beliebte Beispiele

k^{2} - 14 = 0

4(4m+1)-(m-5)=3

4 (4 m + 1) - (m - 5) = 3

\frac{x ^{2} + x ^{2}}{4} = 1

3 x - 5 = 2 x - 17

360 - 4 q = 180