Question

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

Answer 1

The denominator of the simplified expression is
`3n-2.`

Explanation:

The expression

`((2n)/(6n+4)) ((3n+2)/(3n-2) )`

can be rewritten as

`(2n*(3n+2))/(2(3n+2)(3n-2))` (replaced
`6n+4` with
`2(3n+2)`)

and we cancel
`2(3n+2)` to get:

`(2n*(3n+2))/(2(3n+2)(3n-2))= \boxed{ (n)/(3n-2)}`

We see that the denominator of the simplified expression is
`3n-2.`