Evaluate
x^{5}+5x^{4}+2x^{3}+13x^{2}+16x-2+\frac{2}{x^{3}}
Factor
\frac{x^{8}+5x^{7}+2x^{6}+13x^{5}+16x^{4}-2x^{3}+2}{x^{3}}
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x^{5}+5x^{4}+2x^{3}+13x^{2}+16x+\frac{2}{x^{3}}-2
Combine 13x and 3x to get 16x.
\frac{\left(x^{5}+5x^{4}+2x^{3}+13x^{2}+16x-2\right)x^{3}}{x^{3}}+\frac{2}{x^{3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply x^{5}+5x^{4}+2x^{3}+13x^{2}+16x-2 times \frac{x^{3}}{x^{3}}.
\frac{\left(x^{5}+5x^{4}+2x^{3}+13x^{2}+16x-2\right)x^{3}+2}{x^{3}}
Since \frac{\left(x^{5}+5x^{4}+2x^{3}+13x^{2}+16x-2\right)x^{3}}{x^{3}} and \frac{2}{x^{3}} have the same denominator, add them by adding their numerators.
\frac{x^{8}+5x^{7}+2x^{6}+13x^{5}+16x^{4}-2x^{3}+2}{x^{3}}
Do the multiplications in \left(x^{5}+5x^{4}+2x^{3}+13x^{2}+16x-2\right)x^{3}+2.
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