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Beliebt Algebra >

faktorisieren 4t^2-12t+9-w^2

Lösung

faktorisieren

4 t^{2} - 12 t + 9 - w^{2}

Lösung

(2 t - 3 + w) (2 t - 3 - w)

Schritte zur Lösung

4 t^{2} - 12 t + 9 - w^{2}

Faktorisiere

4 t^{2} - 12 t + 9 : (2 t - 3)^{2}

= (2 t - 3)^{2} - w^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(2 t - 3)^{2} - w^{2} = ((2 t - 3) + w) ((2 t - 3) - w)

= ((2 t - 3) + w) ((2 t - 3) - w)

Apply rule:

(a) = a

(2 t - 3) = 2 t - 3

= (2 t - 3 + w) (2 t - 3 - w)

Beliebte Beispiele

\frac{1 ^{4} + C}{1} = - 6

faktorisieren 2x^2-1/6 x-5

f a c t or 2 x^{2} - \frac{1}{6} x - 5

18 = \frac{3 x}{4}

4 x^{2} = 2 + 7 x

6+1/(1-x)<= 7/x

6 + \frac{1}{1 - x} \leq \frac{7}{x}