Solve -x^3+4x-5/2x^3

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

Evaluate

$$-x^{3}+\frac{2}{x^{2}}-\frac{5}{2x^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -x^{3} times \frac{2x^{3}}{2x^{3}}.

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

Since -\frac{x^{3}\times 2x^{3}}{2x^{3}} and \frac{4x-5}{2x^{3}} have the same denominator, add them by adding their numerators.

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

Do the multiplications in -x^{3}\times 2x^{3}+4x-5.

$$\frac{-2x^{6}+4x-5}{2x^{3}}$$

Expand

$$-x^{3}+\frac{2}{x^{2}}-\frac{5}{2x^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -x^{3} times \frac{2x^{3}}{2x^{3}}.

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

Since -\frac{x^{3}\times 2x^{3}}{2x^{3}} and \frac{4x-5}{2x^{3}} have the same denominator, add them by adding their numerators.

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

Do the multiplications in -x^{3}\times 2x^{3}+4x-5.

$$\frac{-2x^{6}+4x-5}{2x^{3}}$$