Simplify (2y)/(y^2+6y)

$\frac{2 y}{y^{2} + 6 y}$

Step 1

Factor $y$ out of $y^{2} + 6 y$ .

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

$\frac{2 y}{y \cdot y + 6 y}$

Factor $y$ out of $6 y$ .

$\frac{2 y}{y \cdot y + y \cdot 6}$

Factor $y$ out of $y \cdot y + y \cdot 6$ .

$\frac{2 y}{y (y + 6)}$

$\frac{2 y}{y (y + 6)}$

Step 2

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{2 y}{y (y + 6)}$

Rewrite the expression.

$\frac{2}{y + 6}$

$\frac{2}{y + 6}$

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