Respuesta :

boffeemadrid

Answer:

[tex]\frac{n}{3n-2}[/tex]

Step-by-step explanation:

The given expression is:

[tex](\frac{2n}{6n+4})(\frac{3n+2}{3n-2})[/tex]

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

[tex](\frac{2n}{2(3n+2)}))(\frac{3n+2}{3n-2})[/tex]

On Cancelling the similar terms, we get,

[tex]\frac{n}{3n-2}[/tex]

which is the required simplified form.

raphealnwobi

The solution to the equation expression is given by [tex](\frac{2n}{6n+4})(\frac{3n+2}{3n-2} ) =\frac{n}{3n-2}[/tex]

Equation

Equation is an expression used to show the relationship between two or more variables and numbers.

Given the equation:

[tex](\frac{2n}{6n+4})(\frac{3n+2}{3n-2} ) \\\\factorizing\ the \ terms:\\\\(\frac{2n}{2(3n+2)})(\frac{3n+2}{3n-2} ) \\\\Simplifying \ gives:\\\\=\frac{n}{3n-2} \\\\(\frac{2n}{6n+4})(\frac{3n+2}{3n-2} ) =\frac{n}{3n-2}[/tex]

The solution to the equation expression is given by [tex](\frac{2n}{6n+4})(\frac{3n+2}{3n-2} ) =\frac{n}{3n-2}[/tex]

Find out more on Equation at: https://brainly.com/question/13763238

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