Solve t^3+16t+16/t

$$t ^ { 3 } + 16 t + \frac { 16 } { t }$$

Evaluate

$$t^{3}+16t+\frac{16}{t}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply t^{3}+16t times \frac{t}{t}.

$$\frac{\left(t^{3}+16t\right)t}{t}+\frac{16}{t}$$

Since \frac{\left(t^{3}+16t\right)t}{t} and \frac{16}{t} have the same denominator, add them by adding their numerators.

$$\frac{\left(t^{3}+16t\right)t+16}{t}$$

Do the multiplications in \left(t^{3}+16t\right)t+16.

$$\frac{t^{4}+16t^{2}+16}{t}$$

Factor

$$\frac{\left(t^{2}-\left(-4\sqrt{3}-8\right)\right)\left(t^{2}-\left(4\sqrt{3}-8\right)\right)}{t}$$