What is the denominator of the simplified expression?(2n/6n+4)(3n+2/3n-2)

Answer:The denominator of the simplified expression is 3 n - 2Step-by-step explanation:Given expression as :([tex]\dfrac{\textrm 2n}{\textrm 6n+4}[/tex] ) × ([tex]\dfrac{\textrm 3 n + 2}{\textrm 3 n - 2}[/tex] )or, [tex]\dfrac{\textrm 6n^{2}+4n }{\textrm 18n^{2}-12 n +12 n -8 }[/tex]Or, [tex]\dfrac{\textrm 6n^{2} + 4n }{18n^{2}-8 }[/tex]or,  [tex]\dfrac{\textrm 3n^{2} + 2n }{9n^{2}-4 }[/tex]Or, [tex]\dfrac{3n^{2}+2n }{(3n+2)(3n-2)}[/tex]Or,  [tex]\dfrac{n (3n + 2) }{(3n+2)(3n-2)}[/tex]∴ [tex]\dfrac{n}{3 n - 2}[/tex]Hence The denominator of the simplified expression is 3 n - 2  Answer