Simplify (-42x^10y^5+12x^8y^3-6x^2y)/(6x^2y)

$\frac{- 42 x^{10} y^{5} + 12 x^{8} y^{3} - 6 x^{2} y}{6 x^{2} y}$

Step 1

Factor $6 x^{2} y$ out of $- 42 x^{10} y^{5} + 12 x^{8} y^{3} - 6 x^{2} y$ .

Factor $6 x^{2} y$ out of $- 42 x^{10} y^{5}$ .

$\frac{6 x^{2} y (- 7 x^{8} y^{4}) + 12 x^{8} y^{3} - 6 x^{2} y}{6 x^{2} y}$

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

$\frac{6 x^{2} y (- 7 x^{8} y^{4}) + 6 x^{2} y (2 x^{6} y^{2}) - 6 x^{2} y}{6 x^{2} y}$

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

$\frac{6 x^{2} y (- 7 x^{8} y^{4}) + 6 x^{2} y (2 x^{6} y^{2}) + 6 x^{2} y (- 1)}{6 x^{2} y}$

Factor $6 x^{2} y$ out of $6 x^{2} y (- 7 x^{8} y^{4}) + 6 x^{2} y (2 x^{6} y^{2})$ .

$\frac{6 x^{2} y (- 7 x^{8} y^{4} + 2 x^{6} y^{2}) + 6 x^{2} y (- 1)}{6 x^{2} y}$

Factor $6 x^{2} y$ out of $6 x^{2} y (- 7 x^{8} y^{4} + 2 x^{6} y^{2}) + 6 x^{2} y (- 1)$ .

$\frac{6 x^{2} y (- 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1)}{6 x^{2} y}$

Step 2

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x^{2} y (- 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1)}{6 x^{2} y}$

Rewrite the expression.

$\frac{x^{2} y (- 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1)}{x^{2} y}$

Step 3

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

Cancel the common factor.

$\frac{x^{2} y (- 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1)}{x^{2} y}$

Rewrite the expression.

$\frac{y (- 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1)}{y}$

Step 4

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{y (- 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1)}{y}$

Divide $- 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1$ by $1$ .

$- 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1$