Simplify (12(x+y)^3)/(9(x+y))

$\frac{12 {(x + y)}^{3}}{9 (x + y)}$

Cancel the common factor of $12$ and $9$ .

Factor $3$ out of $12 {(x + y)}^{3}$ .

$\frac{3 (4 {(x + y)}^{3})}{9 (x + y)}$

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Cancel the common factors.

Factor $x + y$ out of $3 (x + y)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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