Simplify (12(x-2)^2)/(6(x-2)(x+5))

$\frac{12 {(x - 2)}^{2}}{6 (x - 2) (x + 5)}$

Cancel the common factor of $12$ and $6$ .

Factor $6$ out of $12 {(x - 2)}^{2}$ .

$\frac{6 (2 {(x - 2)}^{2})}{6 (x - 2) (x + 5)}$

Cancel the common factors.

Factor $6$ out of $6 (x - 2) (x + 5)$ .

$\frac{6 (2 {(x - 2)}^{2})}{6 ((x - 2) (x + 5))}$

Cancel the common factor.

$\frac{6 (2 {(x - 2)}^{2})}{6 ((x - 2) (x + 5))}$

Rewrite the expression.

$\frac{2 {(x - 2)}^{2}}{(x - 2) (x + 5)}$

Cancel the common factor of ${(x - 2)}^{2}$ and $x - 2$ .

Factor $x - 2$ out of $2 {(x - 2)}^{2}$ .

$\frac{(x - 2) (2 (x - 2))}{(x - 2) (x + 5)}$

Cancel the common factors.

Cancel the common factor.

$\frac{(x - 2) (2 (x - 2))}{(x - 2) (x + 5)}$

Rewrite the expression.

$\frac{2 (x - 2)}{x + 5}$