Solve 2/15x-4/21x^2

$$\frac { 2 } { 15 x } - \frac { 4 } { 21 x ^ { 2 } }$$

Evaluate

$$\frac{2}{15x}-\frac{4}{21x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 15x and 21x^{2} is 105x^{2}. Multiply \frac{2}{15x} times \frac{7x}{7x}. Multiply \frac{4}{21x^{2}} times \frac{5}{5}.

$$\frac{2\times 7x}{105x^{2}}-\frac{4\times 5}{105x^{2}}$$

Since \frac{2\times 7x}{105x^{2}} and \frac{4\times 5}{105x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\times 7x-4\times 5}{105x^{2}}$$

Do the multiplications in 2\times 7x-4\times 5.

$$\frac{14x-20}{105x^{2}}$$

Factor

$$\frac{2\left(7x-10\right)}{105x^{2}}$$