faktorisieren 16a^2-9b^2

Lösung

faktorisieren

16 a^{2} - 9 b^{2}

(4 a + 3 b) (4 a - 3 b)

Schritte zur Lösung

16 a^{2} - 9 b^{2}

16 a^{2} = (4 a)^{2}

9 b^{2} = (3 b)^{2}

= (4 a)^{2} - (3 b)^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(4 a)^{2} - (3 b)^{2} = (4 a + 3 b) (4 a - 3 b)

= (4 a + 3 b) (4 a - 3 b)

Y = (1)^{2}

- 5 x = 35

6 x^{2} + 24 x - 413 = 0

- 3 x - 1 > 5

(x - 1)^{2} (8 - 2 x) > 0