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

Question

asked Mar 28, 2020 80.1k views

2 Answers

Raychi · Answer 1 · 2020-04-01T17:54:27+0000

Answer:

The denominator of the simplified expression is 3 n - 2

Explanation:

Given expression as :

(
$(\textrm 2n)/(\textrm 6n+4)$ ) × (
$(\textrm 3 n + 2)/(\textrm 3 n - 2)$ )

or,
$(\textrm 6n^(2)+4n )/(\textrm 18n^(2)-12 n +12 n -8 )$

Or,
$(\textrm 6n^(2) + 4n )/(18n^(2)-8 )$

or,
$(\textrm 3n^(2) + 2n )/(9n^(2)-4 )$

Or,
(3n^(2)+2n )/((3n+2)(3n-2))

Or,
(n (3n + 2) )/((3n+2)(3n-2))

∴
(n)/(3 n - 2)

Hence The denominator of the simplified expression is 3 n - 2 Answer