Simplify (8(x+3)^2)/(2(x+3))

$\frac{8 {(x + 3)}^{2}}{2 (x + 3)}$

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8 {(x + 3)}^{2}$ .

$\frac{2 (4 {(x + 3)}^{2})}{2 (x + 3)}$

Cancel the common factors.

Cancel the common factor.

$\frac{2 (4 {(x + 3)}^{2})}{2 (x + 3)}$

Rewrite the expression.

$\frac{4 {(x + 3)}^{2}}{x + 3}$

Cancel the common factor of ${(x + 3)}^{2}$ and $x + 3$ .

Factor $x + 3$ out of $4 {(x + 3)}^{2}$ .

$\frac{(x + 3) (4 (x + 3))}{x + 3}$

Cancel the common factors.

Multiply by $1$ .

$\frac{(x + 3) (4 (x + 3))}{(x + 3) \cdot 1}$

Cancel the common factor.

$\frac{(x + 3) (4 (x + 3))}{(x + 3) \cdot 1}$

Rewrite the expression.

$\frac{4 (x + 3)}{1}$

Divide $4 (x + 3)$ by $1$ .

$4 (x + 3)$

Apply the distributive property.

$4 x + 4 \cdot 3$

Multiply $4$ by $3$ .

$4 x + 12$