Question

Simplify the expression below. (2n/6n+4)(3n+2/3n-2)

Answer 1

Answer:

$\frac{n}{3n-2}$

Step-by-step explanation:

Given the expression:

$\frac{2n}{(6n+4)} \cdot \frac{3n+2}{3n-2}$

Using the distributive property: $a \cdot (b+c) =a\cdot b+a\cdot c$

$\frac{2n}{2(3n+2)} \cdot \frac{3n+2}{3n-2}$

Simplify:

$\frac{2n}{2} \cdot \frac{1}{3n-2}$

Simplify:

$\frac{n}{3n-2}$

Therefore, the simplified given expression is, $\frac{n}{3n-2}$

Answer 2

Answer:

$\frac{n}{3n-2}$

Step-by-step explanation:

The given expression is:

$(\frac{2n}{6n+4})(\frac{3n+2}{3n-2})$

Simplifying the above given expression by using the distributive law$a.(b+c)=a.b+a.c$ in $6n+4=2(3n+2)$, we get

$(\frac{2n}{2(3n+2)}))(\frac{3n+2}{3n-2})$

On Cancelling the similar terms, we get,

$\frac{n}{3n-2}$

which is the required simplified form.