Faktorisasi - Clavius

Faktorisasi Kuadrat

$a^{2} - b^{2} = (a + b) (a - b)$

Faktorisasi Kubik

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

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

Contoh 01

Faktorkan $9 b^{2} - 400$

$\begin{aligned} (3 b)^{2} - 20^{2} \\ (3 b + 20) (3 b - 20) \end{aligned}$

Contoh 02

Jabarkan $(4 x + 5) (4 x - 5)$

$\begin{aligned} (4 x)^{2} - 5^{2} \\ 16 x^{2} - 25 \end{aligned}$

Contoh 03

Faktorkan $x^{3} + 8$

$\begin{aligned} x^{3} + 8 \\ x^{3} + 2^{3} \\ (x + 2) (x^{2} + 2 x + 4) \end{aligned}$

Contoh 04

Faktorkan $125 x^{3} - 27 y^{3}$

$\begin{aligned} 125 x^{3} - 27 y^{3} \\ (5 x)^{3} - (3 y)^{3} \\ (5 x - 3 y) (25 x^{2} + 15 x y + 9 y^{2}) \end{aligned}$