Simplify (36x^3y)/(9x)

$\frac{36 x^{3} y}{9 x}$

Step 1

Cancel the common factor of $36$ and $9$ .

Factor $9$ out of $36 x^{3} y$ .

$\frac{9 (4 x^{3} y)}{9 x}$

Cancel the common factors.

Factor $9$ out of $9 x$ .

$\frac{9 (4 x^{3} y)}{9 (x)}$

Cancel the common factor.

$\frac{9 (4 x^{3} y)}{9 x}$

Rewrite the expression.

$\frac{4 x^{3} y}{x}$

$\frac{4 x^{3} y}{x}$

$\frac{4 x^{3} y}{x}$

Step 2

Cancel the common factor of $x^{3}$ and $x$ .

Factor $x$ out of $4 x^{3} y$ .

$\frac{x (4 x^{2} y)}{x}$

Cancel the common factors.

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

$\frac{x (4 x^{2} y)}{x^{1}}$

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

$\frac{x (4 x^{2} y)}{x \cdot 1}$

Cancel the common factor.

$\frac{x (4 x^{2} y)}{x \cdot 1}$

Rewrite the expression.

$\frac{4 x^{2} y}{1}$

Divide $4 x^{2} y$ by $1$ .

$4 x^{2} y$

$4 x^{2} y$

$4 x^{2} y$

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