Solve 2x/3x-2/x^2

$$\frac { 2 x } { 3 x } - \frac { 2 } { x ^ { 2 } }$$

Evaluate

$$\frac{2}{3}-\frac{2}{x^{2}}$$

Short Solution Steps

Cancel out x in both numerator and denominator.

$$\frac{2}{3}-\frac{2}{x^{2}}$$

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

$$\frac{2x^{2}}{3x^{2}}-\frac{2\times 3}{3x^{2}}$$

Since \frac{2x^{2}}{3x^{2}} and \frac{2\times 3}{3x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2x^{2}-2\times 3}{3x^{2}}$$

Do the multiplications in 2x^{2}-2\times 3.

$$\frac{2x^{2}-6}{3x^{2}}$$

Factor

$$\frac{2\left(x^{2}-3\right)}{3x^{2}}$$