faktorisieren 81x^2-4v^2

Lösung

faktorisieren

81 x^{2} - 4 v^{2}

(9 x + 2 v) (9 x - 2 v)

Schritte zur Lösung

81 x^{2} - 4 v^{2}

81 x^{2} = (9 x)^{2}

4 v^{2} = (2 v)^{2}

= (9 x)^{2} - (2 v)^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(9 x)^{2} - (2 v)^{2} = (9 x + 2 v) (9 x - 2 v)

= (9 x + 2 v) (9 x - 2 v)

s im pl i f y \frac{13 !}{2 ! ( 13 - 2 ) !}

f a c t or 800 a^{3} + 2400 a^{2} + 2400 a + 800

12 (x - 2) = - 4 (x + 10)

s im pl i f y \frac{( n ^{2} ( n + 1 ) ^{2} )}{4} - \frac{( n ( n + 1 ) )}{2}

(x - 2)^{2} = 100