Simplify (40y^2)/(5xy)

$\frac{40 y^{2}}{5 x y}$

Step 1

Cancel the common factor of $40$ and $5$ .

Factor $5$ out of $40 y^{2}$ .

$\frac{5 (8 y^{2})}{5 x y}$

Cancel the common factors.

Factor $5$ out of $5 x y$ .

$\frac{5 (8 y^{2})}{5 (x y)}$

Cancel the common factor.

$\frac{5 (8 y^{2})}{5 (x y)}$

Rewrite the expression.

$\frac{8 y^{2}}{x y}$

$\frac{8 y^{2}}{x y}$

$\frac{8 y^{2}}{x y}$

Step 2

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

Factor $y$ out of $8 y^{2}$ .

$\frac{y (8 y)}{x y}$

Cancel the common factors.

Factor $y$ out of $x y$ .

$\frac{y (8 y)}{y x}$

Cancel the common factor.

$\frac{y (8 y)}{y x}$

Rewrite the expression.

$\frac{8 y}{x}$

$\frac{8 y}{x}$

$\frac{8 y}{x}$

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