Simplify (3xy^2+12x^2y)/(3xy)

$\frac{3 x y^{2} + 12 x^{2} y}{3 x y}$

Step 1

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

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

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

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

$\frac{3 x y (y) + 3 x y (4 x)}{3 x y}$

Factor $3 x y$ out of $3 x y (y) + 3 x y (4 x)$ .

$\frac{3 x y (y + 4 x)}{3 x y}$

$\frac{3 x y (y + 4 x)}{3 x y}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x y (y + 4 x)}{3 x y}$

Rewrite the expression.

$\frac{x y (y + 4 x)}{x y}$

$\frac{x y (y + 4 x)}{x y}$

Step 3

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y (y + 4 x)}{x y}$

Rewrite the expression.

$\frac{y (y + 4 x)}{y}$

$\frac{y (y + 4 x)}{y}$

Step 4

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{y (y + 4 x)}{y}$

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

$y + 4 x$

$y + 4 x$

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