Question

what is the denominator of the simplified expression?\\(\left(\frac{2n}{6n + 4}\
ight)\left(\frac{3n + 2}{3n - 2}\
ight)\\)\
\\(\bigcirc\\) 2\
\\(\bigcirc\\) n\
\\(\bigcirc\\) 3n + 2\
\\(\bigcirc\\) 3n - 2

Explanation:

Step1: Factor the denominator of the first fraction

Factor \(6n + 4\): \(6n+4 = 2(3n + 2)\)

Step2: Multiply the fractions and simplify

The expression is \(\frac{2n}{2(3n + 2)}\times\frac{3n + 2}{3n - 2}\). Cancel out \(2\) and \(3n + 2\) (assuming \(3n+2
eq0\) and \(3n - 2
eq0\)): \(\frac{n}{3n - 2}\)

Answer:

\(3n - 2\)