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\frac{\left(x^{2}+20\right)x}{x}+\frac{1}{x}
To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2}+20 times \frac{x}{x}.
\frac{\left(x^{2}+20\right)x+1}{x}
Since \frac{\left(x^{2}+20\right)x}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.
\frac{x^{3}+20x+1}{x}
Do the multiplications in \left(x^{2}+20\right)x+1.