Solve a/1+1/a^2=

$$\frac { a } { 1 } + \frac { 1 } { a ^ { 2 } } =$$

Evaluate

$$a+\frac{1}{a^{2}}$$

Short Solution Steps

Anything divided by one gives itself.

$$a+\frac{1}{a^{2}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply a times \frac{a^{2}}{a^{2}}.

$$\frac{aa^{2}}{a^{2}}+\frac{1}{a^{2}}$$

Since \frac{aa^{2}}{a^{2}} and \frac{1}{a^{2}} have the same denominator, add them by adding their numerators.

$$\frac{aa^{2}+1}{a^{2}}$$

Do the multiplications in aa^{2}+1.

$$\frac{a^{3}+1}{a^{2}}$$

Factor

$$\frac{\left(a+1\right)\left(a^{2}-a+1\right)}{a^{2}}$$