Simplify (-6x^2y^8+12xy^3-36xy^2)/(6xy^2)

$\frac{- 6 x^{2} y^{8} + 12 x y^{3} - 36 x y^{2}}{6 x y^{2}}$

Factor $6 x y^{2}$ out of $- 6 x^{2} y^{8} + 12 x y^{3} - 36 x y^{2}$ .

Factor $6 x y^{2}$ out of $- 6 x^{2} y^{8}$ .

$\frac{6 x y^{2} (- x y^{6}) + 12 x y^{3} - 36 x y^{2}}{6 x y^{2}}$

Factor $6 x y^{2}$ out of $12 x y^{3}$ .

$\frac{6 x y^{2} (- x y^{6}) + 6 x y^{2} (2 y) - 36 x y^{2}}{6 x y^{2}}$

Factor $6 x y^{2}$ out of $- 36 x y^{2}$ .

$\frac{6 x y^{2} (- x y^{6}) + 6 x y^{2} (2 y) + 6 x y^{2} (- 6)}{6 x y^{2}}$

Factor $6 x y^{2}$ out of $6 x y^{2} (- x y^{6}) + 6 x y^{2} (2 y)$ .

$\frac{6 x y^{2} (- x y^{6} + 2 y) + 6 x y^{2} (- 6)}{6 x y^{2}}$

Factor $6 x y^{2}$ out of $6 x y^{2} (- x y^{6} + 2 y) + 6 x y^{2} (- 6)$ .

$\frac{6 x y^{2} (- x y^{6} + 2 y - 6)}{6 x y^{2}}$

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x y^{2} (- x y^{6} + 2 y - 6)}{6 x y^{2}}$

Rewrite the expression.

$\frac{x y^{2} (- x y^{6} + 2 y - 6)}{x y^{2}}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y^{2} (- x y^{6} + 2 y - 6)}{x y^{2}}$

Rewrite the expression.

$\frac{y^{2} (- x y^{6} + 2 y - 6)}{y^{2}}$

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

Cancel the common factor.

$\frac{y^{2} (- x y^{6} + 2 y - 6)}{y^{2}}$

Divide $- x y^{6} + 2 y - 6$ by $1$ .

$- x y^{6} + 2 y - 6$