Solve x^3+1/x^6+3x^2+10

$${ x }^{ 3 } + \frac{ 1 }{ { x }^{ 6 } } +3 { x }^{ 2 } +10$$

Evaluate

$$x^{3}+3x^{2}+10+\frac{1}{x^{6}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{3}+3x^{2}+10 times \frac{x^{6}}{x^{6}}.

$$\frac{\left(x^{3}+3x^{2}+10\right)x^{6}}{x^{6}}+\frac{1}{x^{6}}$$

Since \frac{\left(x^{3}+3x^{2}+10\right)x^{6}}{x^{6}} and \frac{1}{x^{6}} have the same denominator, add them by adding their numerators.

$$\frac{\left(x^{3}+3x^{2}+10\right)x^{6}+1}{x^{6}}$$

Do the multiplications in \left(x^{3}+3x^{2}+10\right)x^{6}+1.

$$\frac{x^{9}+3x^{8}+10x^{6}+1}{x^{6}}$$

Factor

$$\frac{x^{9}+3x^{8}+10x^{6}+1}{x^{6}}$$