faktorisieren 12m^2n+24m^3n^2-36m^4n^3+48m^5n^4

Lösung

faktorisieren

12 m^{2} n + 24 m^{3} n^{2} - 36 m^{4} n^{3} + 48 m^{5} n^{4}

12 m^{2} n (1 + 2 mn - 3 m^{2} n^{2} + 4 m^{3} n^{3})

Schritte zur Lösung

12 m^{2} n + 24 m^{3} n^{2} - 36 m^{4} n^{3} + 48 m^{5} n^{4}

Wende Exponentenregel an:

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

m^{3} n^{2} = m^{2} mnn, m^{4} n^{3} = m^{2} m^{2} n n^{2}, m^{5} n^{4} = m^{2} m^{3} n n^{3}

= 12 m^{2} n + 24 m^{2} mnn - 36 m^{2} m^{2} n n^{2} + 48 m^{2} m^{3} n n^{3}

Schreibe

48

um:

4 \cdot 12

Schreibe

- 36

um:

3 \cdot 12

= 12 m^{2} n + 2 \cdot 12 m^{2} mnn + 3 \cdot 12 m^{2} m^{2} n n^{2} + 4 \cdot 12 m^{2} m^{3} n n^{3}

Klammere gleiche Terme aus

12 m^{2} n

= 12 m^{2} n (1 + 2 mn - 3 m^{2} n^{2} + 4 m^{3} n^{3})

- 3 s \geq 6

s im pl i f y \frac{8}{15} - \frac{1}{5}

s im pl i f y lo g_{2} (lo g_{2} (4))

π < t < \frac{3 π}{2}

\frac{x - 2}{x + 2} < 0