Solve 11/8x^3-3/2x

$$\frac { 11 } { 8 x ^ { 3 } } - \frac { 3 } { 2 x }$$

Evaluate

$$-\frac{3}{2x}+\frac{11}{8x^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8x^{3} and 2x is 8x^{3}. Multiply \frac{3}{2x} times \frac{4x^{2}}{4x^{2}}.

$$\frac{11}{8x^{3}}-\frac{3\times 4x^{2}}{8x^{3}}$$

Since \frac{11}{8x^{3}} and \frac{3\times 4x^{2}}{8x^{3}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-3\times 4x^{2}}{8x^{3}}$$

Do the multiplications in 11-3\times 4x^{2}.

$$\frac{11-12x^{2}}{8x^{3}}$$

Factor

$$-\frac{\frac{1}{8}\left(12x^{2}-11\right)}{xx^{2}}$$