Simplify (10(x+2)(x-3))/(5(x-3)(x+6))

$\frac{10 (x + 2) (x - 3)}{5 (x - 3) (x + 6)}$

Cancel the common factor of $10$ and $5$ .

Factor $5$ out of $10 (x + 2) (x - 3)$ .

$\frac{5 (2 (x + 2) (x - 3))}{5 (x - 3) (x + 6)}$

Cancel the common factors.

Factor $5$ out of $5 (x - 3) (x + 6)$ .

$\frac{5 (2 (x + 2) (x - 3))}{5 ((x - 3) (x + 6))}$

Cancel the common factor.

$\frac{5 (2 (x + 2) (x - 3))}{5 ((x - 3) (x + 6))}$

Rewrite the expression.

$\frac{2 (x + 2) (x - 3)}{(x - 3) (x + 6)}$

Cancel the common factor of $x - 3$ .

Cancel the common factor.

$\frac{2 (x + 2) (x - 3)}{(x - 3) (x + 6)}$

Rewrite the expression.

$\frac{2 (x + 2)}{x + 6}$