Solve (1/n+z^2/n^2)

$$( \frac { 1 } { n } + \frac { z ^ { 2 } } { n ^ { 2 } } )$$

Evaluate

$$\frac{z^{2}+n}{n^{2}}$$

Solution Steps

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

$$\frac{n}{n^{2}}+\frac{z^{2}}{n^{2}}$$

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

$$\frac{n+z^{2}}{n^{2}}$$

Factor

$$\frac{z^{2}+n}{n^{2}}$$