Solve x/3+1/81x^2

$$\frac { x } { 3 } + \frac { 1 } { 81 x ^ { 2 } }$$

Evaluate

$$\frac{x}{3}+\frac{1}{81x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 81x^{2} is 81x^{2}. Multiply \frac{x}{3} times \frac{27x^{2}}{27x^{2}}.

$$\frac{x\times 27x^{2}}{81x^{2}}+\frac{1}{81x^{2}}$$

Since \frac{x\times 27x^{2}}{81x^{2}} and \frac{1}{81x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{x\times 27x^{2}+1}{81x^{2}}$$

Do the multiplications in x\times 27x^{2}+1.

$$\frac{27x^{3}+1}{81x^{2}}$$

Factor

$$\frac{\left(3x+1\right)\left(9x^{2}-3x+1\right)}{81x^{2}}$$