Solve 1/x^2+1/y

$$\frac{ 1 }{ { x }^{ 2 } } + \frac{ 1 }{ y }$$

Evaluate

$$\frac{1}{y}+\frac{1}{x^{2}}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{2} and y is yx^{2}. Multiply \frac{1}{x^{2}} times \frac{y}{y}. Multiply \frac{1}{y} times \frac{x^{2}}{x^{2}}.

$$\frac{y}{yx^{2}}+\frac{x^{2}}{yx^{2}}$$

Since \frac{y}{yx^{2}} and \frac{x^{2}}{yx^{2}} have the same denominator, add them by adding their numerators.

$$\frac{y+x^{2}}{yx^{2}}$$

Factor

$$\frac{\frac{x^{2}}{y}+1}{x^{2}}$$