Simplify (14xy^5(2x-3y))/(21x^2y(2x-3y)^2)

$\frac{14 x y^{5} (2 x - 3 y)}{21 x^{2} y {(2 x - 3 y)}^{2}}$

Cancel the common factor of $14$ and $21$ .

Factor $7$ out of $14 x y^{5} (2 x - 3 y)$ .

$\frac{7 (2 x y^{5} (2 x - 3 y))}{21 x^{2} y {(2 x - 3 y)}^{2}}$

Cancel the common factors.

Factor $7$ out of $21 x^{2} y {(2 x - 3 y)}^{2}$ .

$\frac{7 (2 x y^{5} (2 x - 3 y))}{7 (3 x^{2} y {(2 x - 3 y)}^{2})}$

Cancel the common factor.

$\frac{7 (2 x y^{5} (2 x - 3 y))}{7 (3 x^{2} y {(2 x - 3 y)}^{2})}$

Rewrite the expression.

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

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

Factor $x$ out of $2 x y^{5} (2 x - 3 y)$ .

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

Cancel the common factors.

Factor $x$ out of $3 x^{2} y {(2 x - 3 y)}^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $y^{5}$ and $y$ .

Factor $y$ out of $2 y^{5} (2 x - 3 y)$ .

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

Cancel the common factors.

Factor $y$ out of $3 x y {(2 x - 3 y)}^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Cancel the common factors.

Factor $2 x - 3 y$ out of $3 x {(2 x - 3 y)}^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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