Question

multiplying and dividing rational expressions
what is product of \\(\frac{x}{3}\\) and \\(\frac{6}{x}\\) when \\(x \
eq 0\\)?
options: 2, \\(\frac{2}{x^2}\\), 18, \\(\frac{18}{x^2}\\)

Explanation:

Step1: Write the product expression

$\frac{2}{x} \times \frac{9}{x}$

Step2: Multiply numerators and denominators

$\frac{2 \times 9}{x \times x} = \frac{18}{x^2}$

Answer:

$\frac{18}{x^2}$