Answer : The denominator of the simplified expression is, (3n-2)
Step-by-step explanation :
The given expression is:
[tex]\left(\frac{2n}{6n+4}\right)\left(\frac{3n+2}{3n-2}\right)[/tex]
Now we are multiplying numerator.
[tex]\frac{2n(3n+2)}{(6n+4)(3n-2)}[/tex]
[tex]\frac{6n^2+4n}{(6n+4)(3n-2)}[/tex]
Now we are taking common 'n' in numerator.
[tex]\frac{n(6n+4)}{(6n+4)(3n-2)}[/tex]
Now we are cancelling the term (6n+4), we get:
[tex]\frac{n}{(3n-2)}[/tex]
In this expression:
Numerator = n
Denominator = (3n-2)
Therefore, the denominator of the simplified expression is, (3n-2)
