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cluponka [151]
3 years ago
6

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

Mathematics
2 answers:
andrezito [222]3 years ago
7 0

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}

ale4655 [162]3 years ago
5 0

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 lawa.(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.

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