Solve (2/y)+(y/3^2)

$$( \frac { 2 } { y } ) + ( \frac { y } { 3 ^ { 2 } } )$$

Evaluate

$$\frac{y}{9}+\frac{2}{y}$$

Short Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{2}{y}+\frac{y}{9}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of y and 9 is 9y. Multiply \frac{2}{y} times \frac{9}{9}. Multiply \frac{y}{9} times \frac{y}{y}.

$$\frac{2\times 9}{9y}+\frac{yy}{9y}$$

Since \frac{2\times 9}{9y} and \frac{yy}{9y} have the same denominator, add them by adding their numerators.

$$\frac{2\times 9+yy}{9y}$$

Do the multiplications in 2\times 9+yy.

$$\frac{18+y^{2}}{9y}$$

Factor

$$\frac{y^{2}+18}{9y}$$