Question

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

Answer 1

Answer:

The denominator of the simplified expression is 3 n - 2

Step-by-step explanation:

Given expression as :

($\dfrac{\textrm 2n}{\textrm 6n+4}$ ) × ($\dfrac{\textrm 3 n + 2}{\textrm 3 n - 2}$ )

or, $\dfrac{\textrm 6n^{2}+4n }{\textrm 18n^{2}-12 n +12 n -8 }$

Or, $\dfrac{\textrm 6n^{2} + 4n }{18n^{2}-8 }$

or,  $\dfrac{\textrm 3n^{2} + 2n }{9n^{2}-4 }$

Or, $\dfrac{3n^{2}+2n }{(3n+2)(3n-2)}$

Or,  $\dfrac{n (3n + 2) }{(3n+2)(3n-2)}$

∴ $\dfrac{n}{3 n - 2}$

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

Answer 2

Answer: The correct answer is 3n-2

Step-by-step explanation: