faktorisieren 16d^2e^2-64m^2

Lösung

faktorisieren

16 d^{2} e^{2} - 64 m^{2}

16 (e d + 2 m) (e d - 2 m)

Schritte zur Lösung

16 d^{2} e^{2} - 64 m^{2}

Schreibe

16 d^{2} e^{2}

um:

(2^{2} d e)^{2}

Schreibe

64 m^{2}

um:

(2^{3} m)^{2}

= (2^{2} d e)^{2} - (2^{3} m)^{2}

Wende Formel zur Differenz von zwei Quadraten an:

x^{2} - y^{2} = (x + y) (x - y)

(2^{2} d e)^{2} - (2^{3} m)^{2} = (2^{2} d e + 2^{3} m) (2^{2} d e - 2^{3} m)

= (2^{2} d e + 2^{3} m) (2^{2} d e - 2^{3} m)

Fasse zusammen

= (4 e d + 8 m) (4 e d - 8 m)

Faktorisiere

4 e d + 8 m : 4 (e d + 2 m)

= 4 (e d + 2 m) (4 e d - 8 m)

Faktorisiere

4 e d - 8 m : 4 (e d - 2 m)

= 4 (e d + 2 m) \cdot 4 (e d - 2 m)

Fasse zusammen

= 16 (e d + 2 m) (e d - 2 m)

f a c t or 2 lo g_{10} (x^{2} - y^{2})

f a c t or 56

f a c t or x^{2} - 10 + 29

f a c t or z^{3} - 0.2 z^{2} - z + 0.2

f a c t or (- cos (x)) ln (sec (x) + tan (x))