de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

faktorisieren r^2-6r-9s^2+9

Lösung

faktorisieren

r^{2} - 6 r - 9 s^{2} + 9

Lösung

(r - 3 + 3 s) (r - 3 - 3 s)

Schritte zur Lösung

r^{2} - 6 r - 9 s^{2} + 9

Faktorisiere

r^{2} - 6 r + 9 : (r - 3)^{2}

= (r - 3)^{2} - 9 s^{2}

Vereinfache

9 s^{2} : (3 s)^{2}

= (r - 3)^{2} - (3 s)^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(r - 3)^{2} - (3 s)^{2} = ((r - 3) + 3 s) ((r - 3) - 3 s)

= ((r - 3) + 3 s) ((r - 3) - 3 s)

Apply rule:

(a) = a

(r - 3) = r - 3

= (r - 3 + 3 s) (r - 3 - 3 s)

Beliebte Beispiele

(3y+5)/2-(3y+2)/5 = 3/10

\frac{3 y + 5}{2} - \frac{3 y + 2}{5} = \frac{3}{10}

12 y - 4 = 15 y + 8

15 y = 25 y^{2}

(sqrt(|x+4|^2)-25)(sqrt(x^2)-9)<= 0

(∣ x + 4 ∣^{2} - 25) (x^{2} - 9) \leq 0

3 (x + 4) = 18