Answer:
The denominator of the simplified expression is [tex]3n-2.[/tex]
Step-by-step explanation:
The expression
[tex](\dfrac{2n}{6n+4}) (\dfrac{3n+2}{3n-2} )[/tex]
can be rewritten as
[tex]\dfrac{2n*(3n+2)}{2(3n+2)(3n-2)}[/tex] (replaced [tex]6n+4[/tex] with [tex]2(3n+2)[/tex])
and we cancel [tex]2(3n+2)[/tex] to get:
[tex]\dfrac{2n*(3n+2)}{2(3n+2)(3n-2)}= \boxed{ \dfrac{n}{3n-2}}[/tex]
We see that the denominator of the simplified expression is [tex]3n-2.[/tex]
