Divide (20x^2y^2-10x^2y^8)/(2x^2y^2)

$\frac{20 x^{2} y^{2} - 10 x^{2} y^{8}}{2 x^{2} y^{2}}$

Simplify the numerator.

Factor $10 x^{2} y^{2}$ out of $20 x^{2} y^{2} - 10 x^{2} y^{8}$ .

Factor $10 x^{2} y^{2}$ out of $20 x^{2} y^{2}$ .

$\frac{10 x^{2} y^{2} (2) - 10 x^{2} y^{8}}{2 x^{2} y^{2}}$

Factor $10 x^{2} y^{2}$ out of $- 10 x^{2} y^{8}$ .

$\frac{10 x^{2} y^{2} (2) + 10 x^{2} y^{2} (- 1 y^{6})}{2 x^{2} y^{2}}$

Factor $10 x^{2} y^{2}$ out of $10 x^{2} y^{2} (2) + 10 x^{2} y^{2} (- 1 y^{6})$ .

$\frac{10 x^{2} y^{2} (2 - 1 y^{6})}{2 x^{2} y^{2}}$

Rewrite $- 1 y^{6}$ as $- y^{6}$ .

$\frac{10 x^{2} y^{2} (2 - y^{6})}{2 x^{2} y^{2}}$

Cancel the common factor of $10$ and $2$ .

Factor $2$ out of $10 x^{2} y^{2} (2 - y^{6})$ .

$\frac{2 (5 x^{2} y^{2} (2 - y^{6}))}{2 x^{2} y^{2}}$

Cancel the common factors.

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

$\frac{2 (5 x^{2} y^{2} (2 - y^{6}))}{2 (x^{2} y^{2})}$

Cancel the common factor.

$\frac{2 (5 x^{2} y^{2} (2 - y^{6}))}{2 (x^{2} y^{2})}$

Rewrite the expression.

$\frac{5 x^{2} y^{2} (2 - y^{6})}{x^{2} y^{2}}$

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

Cancel the common factor.

$\frac{5 x^{2} y^{2} (2 - y^{6})}{x^{2} y^{2}}$

Rewrite the expression.

$\frac{5 y^{2} (2 - y^{6})}{y^{2}}$

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

Cancel the common factor.

$\frac{5 y^{2} (2 - y^{6})}{y^{2}}$

Divide $5 (2 - y^{6})$ by $1$ .

$5 (2 - y^{6})$

Apply the distributive property.

$5 \cdot 2 + 5 (- y^{6})$

Multiply $5$ by $2$ .

$10 + 5 (- y^{6})$

Multiply $- 1$ by $5$ .

$10 - 5 y^{6}$