Divide (10x^2y^2-8xy^3+6y)/(2y^2)

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

Step 1

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

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

$\frac{2 y (5 x^{2} y) - 8 x y^{3} + 6 y}{2 y^{2}}$

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

$\frac{2 y (5 x^{2} y) + 2 y (- 4 x y^{2}) + 6 y}{2 y^{2}}$

Factor $2 y$ out of $6 y$ .

$\frac{2 y (5 x^{2} y) + 2 y (- 4 x y^{2}) + 2 y (3)}{2 y^{2}}$

Factor $2 y$ out of $2 y (5 x^{2} y) + 2 y (- 4 x y^{2})$ .

$\frac{2 y (5 x^{2} y - 4 x y^{2}) + 2 y (3)}{2 y^{2}}$

Factor $2 y$ out of $2 y (5 x^{2} y - 4 x y^{2}) + 2 y (3)$ .

$\frac{2 y (5 x^{2} y - 4 x y^{2} + 3)}{2 y^{2}}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y (5 x^{2} y - 4 x y^{2} + 3)}{2 y^{2}}$

Rewrite the expression.

$\frac{y (5 x^{2} y - 4 x y^{2} + 3)}{y^{2}}$

Step 3

Cancel the common factors.

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

$\frac{y (5 x^{2} y - 4 x y^{2} + 3)}{y \cdot y}$

Cancel the common factor.

$\frac{y (5 x^{2} y - 4 x y^{2} + 3)}{y \cdot y}$

Rewrite the expression.

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

Step 4

Split the fraction $\frac{5 x^{2} y - 4 x y^{2} + 3}{y}$ into two fractions.

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

Step 5

Split the fraction $\frac{5 x^{2} y - 4 x y^{2}}{y}$ into two fractions.

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

Step 6

Cancel the common factor of $y$ .

Cancel the common factor.

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

Divide $5 x^{2}$ by $1$ .

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

Step 7

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

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

$5 x^{2} + \frac{y (- 4 x y)}{y} + \frac{3}{y}$

Cancel the common factors.

Raise $y$ to the power of $1$ .

$5 x^{2} + \frac{y (- 4 x y)}{y^{1}} + \frac{3}{y}$

Factor $y$ out of $y^{1}$ .

$5 x^{2} + \frac{y (- 4 x y)}{y \cdot 1} + \frac{3}{y}$

Cancel the common factor.

$5 x^{2} + \frac{y (- 4 x y)}{y \cdot 1} + \frac{3}{y}$

Rewrite the expression.

$5 x^{2} + \frac{- 4 x y}{1} + \frac{3}{y}$

Divide $- 4 x y$ by $1$ .

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

Divide (10x^2y^2-8xy^3+6y)/(2y^2)

Related Questions

Support LCMGCF.com by disabling your adblocker.