Simplify (18x^2-162x)/(9x)

$\frac{18 x^{2} - 162 x}{9 x}$

Step 1

Factor $18 x$ out of $18 x^{2} - 162 x$ .

Factor $18 x$ out of $18 x^{2}$ .

$\frac{18 x (x) - 162 x}{9 x}$

Factor $18 x$ out of $- 162 x$ .

$\frac{18 x (x) + 18 x (- 9)}{9 x}$

Factor $18 x$ out of $18 x (x) + 18 x (- 9)$ .

$\frac{18 x (x - 9)}{9 x}$

$\frac{18 x (x - 9)}{9 x}$

Step 2

Cancel the common factor of $18$ and $9$ .

Factor $9$ out of $18 x (x - 9)$ .

$\frac{9 (2 x (x - 9))}{9 x}$

Cancel the common factors.

Factor $9$ out of $9 x$ .

$\frac{9 (2 x (x - 9))}{9 (x)}$

Cancel the common factor.

$\frac{9 (2 x (x - 9))}{9 x}$

Rewrite the expression.

$\frac{2 x (x - 9)}{x}$

$\frac{2 x (x - 9)}{x}$

$\frac{2 x (x - 9)}{x}$

Step 3

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{2 x (x - 9)}{x}$

Divide $2 (x - 9)$ by $1$ .

$2 (x - 9)$

$2 (x - 9)$

Step 4

Apply the distributive property.

$2 x + 2 \cdot - 9$

Step 5

Multiply $2$ by $- 9$ .

$2 x - 18$

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