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Beliebt Algebra >

faktorisieren 4mn^2-4m^2n^2+m^3n^2

Lösung

faktorisieren

4 m n^{2} - 4 m^{2} n^{2} + m^{3} n^{2}

Lösung

m n^{2} (m - 2)^{2}

Schritte zur Lösung

4 m n^{2} - 4 m^{2} n^{2} + m^{3} n^{2}

Klammere gleiche Terme aus

m n^{2} : m n^{2} (4 - 4 m + m^{2})

= m n^{2} (4 - 4 m + m^{2})

Faktorisiere

4 - 4 m + m^{2} : (m - 2) (m - 2)

= m n^{2} (m - 2) (m - 2)

Wende Exponentenregel an:

aa = a^{2}

(m - 2) (m - 2) = (m - 2)^{2}

= m n^{2} (m - 2)^{2}

Beliebte Beispiele

faktorisieren-x^3+3x^2-2x

f a c t or - x^{3} + 3 x^{2} - 2 x

x^{2} + 16 x + 28 = 0

1/6 <= (1-6t)/7 < 6/7

\frac{1}{6} \leq \frac{1 - 6 t}{7} < \frac{6}{7}

faktorisieren 2x^2+3x^3+4x^4

f a c t or 2 x^{2} + 3 x^{3} + 4 x^{4}

3-(4x+1)<88-2(x+7)

3 - (4 x + 1) < 88 - 2 (x + 7)