Question

simplify.
\\(\frac{4x - 8}{x^2 - 2x}\\)

select the correct choice below and fill in any answer boxes in your choice.

\\(\bigcirc\\) a. \\(\frac{4x - 8}{x^2 - 2x} = \square\\)

\\(\bigcirc\\) b. the expression cannot be simplified.

Explanation:

Step1: Factor numerator and denominator

Factor \(4x - 8\) as \(4(x - 2)\), and factor \(x^2 - 2x\) as \(x(x - 2)\). So the expression becomes \(\frac{4(x - 2)}{x(x - 2)}\).

Step2: Cancel common factors

Cancel out the common factor \((x - 2)\) (assuming \(x
eq2\) and \(x
eq0\) to avoid division by zero). This leaves \(\frac{4}{x}\).

Answer:

A. \(\frac{4x - 8}{x^2 - 2x}=\frac{4}{x}\)