Solve 3x^2+1divx^3+3x

$$3 { x }^{ 2 } +1 \div { x }^{ 3 } +3x$$

Evaluate

$$3x^{2}+3x+\frac{1}{x^{3}}$$

Short Solution Steps

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

$$\frac{\left(3x^{2}+3x\right)x^{3}}{x^{3}}+\frac{1}{x^{3}}$$

Since \frac{\left(3x^{2}+3x\right)x^{3}}{x^{3}} and \frac{1}{x^{3}} have the same denominator, add them by adding their numerators.

$$\frac{\left(3x^{2}+3x\right)x^{3}+1}{x^{3}}$$

Do the multiplications in \left(3x^{2}+3x\right)x^{3}+1.

$$\frac{3x^{5}+3x^{4}+1}{x^{3}}$$

Factor

$$\frac{3x^{5}+3x^{4}+1}{x^{3}}$$