Simplify 2n*6/(2n^2+18n)

$2 n \cdot \frac{6}{2 n^{2} + 18 n}$

Step 1

Factor $2 n$ out of $2 n^{2} + 18 n$ .

Factor $2 n$ out of $2 n^{2}$ .

$2 n \cdot \frac{6}{2 n (n) + 18 n}$

Factor $2 n$ out of $18 n$ .

$2 n \cdot \frac{6}{2 n (n) + 2 n (9)}$

Factor $2 n$ out of $2 n (n) + 2 n (9)$ .

$2 n \cdot \frac{6}{2 n (n + 9)}$

$2 n \cdot \frac{6}{2 n (n + 9)}$

Step 2

Cancel the common factor of $2 n$ .

Cancel the common factor.

$2 n \cdot \frac{6}{2 n (n + 9)}$

Rewrite the expression.

$\frac{6}{n + 9}$

$\frac{6}{n + 9}$

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