Simplify (6x^5y^2-3x^2y^3)/(3x^4y)

$\frac{6 x^{5} y^{2} - 3 x^{2} y^{3}}{3 x^{4} y}$

Simplify the numerator.

Factor $3 x^{2} y^{2}$ out of $6 x^{5} y^{2} - 3 x^{2} y^{3}$ .

Factor $3 x^{2} y^{2}$ out of $6 x^{5} y^{2}$ .

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

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

$\frac{3 x^{2} y^{2} (2 x^{3}) + 3 x^{2} y^{2} (- 1 y)}{3 x^{4} y}$

Factor $3 x^{2} y^{2}$ out of $3 x^{2} y^{2} (2 x^{3}) + 3 x^{2} y^{2} (- 1 y)$ .

$\frac{3 x^{2} y^{2} (2 x^{3} - 1 y)}{3 x^{4} y}$

Rewrite $- 1 y$ as $- y$ .

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

Reduce the expression by cancelling the common factors.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $x^{2}$ and $x^{4}$ .

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

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

Cancel the common factors.

Factor $x^{2}$ out of $x^{4} y$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Cancel the common factors.

Factor $y$ out of $x^{2} y$ .

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

Cancel the common factor.

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

Rewrite the expression.

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