Simplify (9(x+2)(x+3))/(15(x+3)(x-5))

$\frac{9 (x + 2) (x + 3)}{15 (x + 3) (x - 5)}$

Cancel the common factor of $9$ and $15$ .

Factor $3$ out of $9 (x + 2) (x + 3)$ .

$\frac{3 (3 (x + 2) (x + 3))}{15 (x + 3) (x - 5)}$

Cancel the common factors.

Factor $3$ out of $15 (x + 3) (x - 5)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $x + 3$ .

Cancel the common factor.

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

Rewrite the expression.

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