Solve 12^2/x^3+4x

$$\frac { 12 ^ { 2 } } { x ^ { 3 } } + 4 x$$

Evaluate

$$4x+\frac{144}{x^{3}}$$

Short Solution Steps

Calculate 12 to the power of 2 and get 144.

$$\frac{144}{x^{3}}+4x$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4x times \frac{x^{3}}{x^{3}}.

$$\frac{144}{x^{3}}+\frac{4xx^{3}}{x^{3}}$$

Since \frac{144}{x^{3}} and \frac{4xx^{3}}{x^{3}} have the same denominator, add them by adding their numerators.

$$\frac{144+4xx^{3}}{x^{3}}$$

Do the multiplications in 144+4xx^{3}.

$$\frac{144+4x^{4}}{x^{3}}$$

Factor

$$\frac{4\left(x^{4}+36\right)}{x^{3}}$$