Solve 2/12x^3-2/15x^2

$$\frac { 2 } { 12 x ^ { 3 } } - \frac { 2 } { 15 x ^ { 2 } }$$

Evaluate

$$-\frac{2}{15x^{2}}+\frac{1}{6x^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 12x^{3} and 15x^{2} is 60x^{3}. Multiply \frac{2}{12x^{3}} times \frac{5}{5}. Multiply \frac{2}{15x^{2}} times \frac{4x}{4x}.

$$\frac{2\times 5}{60x^{3}}-\frac{2\times 4x}{60x^{3}}$$

Since \frac{2\times 5}{60x^{3}} and \frac{2\times 4x}{60x^{3}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\times 5-2\times 4x}{60x^{3}}$$

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

$$\frac{10-8x}{60x^{3}}$$

Factor the expressions that are not already factored in \frac{10-8x}{60x^{3}}.

$$\frac{2\left(-4x+5\right)}{60x^{3}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{-4x+5}{30x^{3}}$$

Factor

$$\frac{5-4x}{30x^{3}}$$