Question

simplify.
\\(\frac{8w^2 - 12w}{4w^2 - 32w}\\)

Explanation:

Step1: Factor numerator and denominator

Factor out common terms:
Numerator: \(8w^2 - 12w = 4w(2w - 3)\)
Denominator: \(4w^2 - 32w = 4w(w - 8)\)

Step2: Simplify the fraction

Cancel the common factor \(4w\) (assuming \(w
eq 0\) and \(w
eq 8\)):
\(\frac{4w(2w - 3)}{4w(w - 8)} = \frac{2w - 3}{w - 8}\)

Answer:

\(\frac{2w - 3}{w - 8}\)