Question

question
simplify the expression completely if possible.
$\frac{18x^{2}-36x}{9x^{2}}$

Explanation:

Step1: Factor numerator

$18x^2 - 36x = 18x(x - 2)$

Step2: Rewrite the expression

$\frac{18x(x - 2)}{9x^2}$

Step3: Simplify constants and variables

$\frac{18}{9} \cdot \frac{x}{x^2} \cdot (x - 2) = 2 \cdot \frac{1}{x} \cdot (x - 2)$

Step4: Distribute to simplify further

$\frac{2(x - 2)}{x} = \frac{2x - 4}{x}$ or split as $2 - \frac{4}{x}$

Answer:

$\frac{2(x - 2)}{x}$ (or equivalent forms: $\frac{2x - 4}{x}$ or $2 - \frac{4}{x}$)